help grade 8 desperately | Mathematics | Page 1

compact rampartBOT Apr 25, 2024, 1:02 PM

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mortal mango Apr 25, 2024, 1:02 PM

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i've done this so far but am 99% sure it is wrong:

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also am currently last minute studying and am about to go to bed soon so may not reply if u reply after like an hour

mortal mango Apr 25, 2024, 1:28 PM

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help grade 8 desperately

bright junco Apr 25, 2024, 1:31 PM

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hi have an idea of the answer

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am not sure if its right tho

mortal mango Apr 25, 2024, 1:31 PM

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yoo

bright junco Apr 25, 2024, 1:31 PM

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yello

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so, if the area of EFGH is 25 m^2, then each side= 5 m

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EF=EH=HG=GF=5m

mortal mango Apr 25, 2024, 1:33 PM

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bright junco so, if the area of EFGH is 25 m^2, then each side= 5 m

it says it's a rectangle tho

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or does that still work even tho it rectangle

bright junco Apr 25, 2024, 1:33 PM

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it says ABCD is a rectangle

mortal mango Apr 25, 2024, 1:33 PM

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if they're expanded by the same ratio wouldn't that also make EFGH a rectangle?

bright junco Apr 25, 2024, 1:34 PM

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even so, try substituting lxb=area of rectangle

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so that means l x b=25m^2

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there are no other combinations

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factors of 25 are 1,5 and 25. So hence EFGH has to be a square.

mortal mango Apr 25, 2024, 1:35 PM

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ooohhh

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i see i see

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yeah that makes alot more sense now

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hold on

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so would r just be 5?

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if sides of abcd are 1m

bright junco Apr 25, 2024, 1:36 PM

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i suppose so.

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wait

mortal mango Apr 25, 2024, 1:37 PM

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could there be decimals or smth?

bright junco Apr 25, 2024, 1:37 PM

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let's try substituting that into the pythagoreas thereom

mortal mango Apr 25, 2024, 1:37 PM

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oh

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ye

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true true

bright junco Apr 25, 2024, 1:38 PM

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so hypotenuse= 5m

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so if r=5 then AE=5m

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that doesnt sound right.

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instead, we can use the method of trial and error

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take AE as x, and AF as y.

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EF^2 = AE^2 + AF^2

mortal mango Apr 25, 2024, 1:39 PM

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hold on would r be 4 instead?

bright junco Apr 25, 2024, 1:40 PM

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25= AE^2 +AF^2

mortal mango Apr 25, 2024, 1:40 PM

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wait

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nvm

bright junco Apr 25, 2024, 1:40 PM

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yes, and AF = 3

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but we can take AE as 3, and AF as 4

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since AE is shorter than AF on the diagram

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So answer could be r=3

mortal mango Apr 25, 2024, 1:41 PM

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bright junco 25= AE^2 +AF^2

how did u get this?

bright junco Apr 25, 2024, 1:42 PM

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pythagoreas theorem

mortal mango Apr 25, 2024, 1:42 PM

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the a^2 + b^2 = c^2 thingo

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hol on

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brain not braining

bright junco Apr 25, 2024, 1:42 PM

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yup

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no, youre on the right track

mortal mango Apr 25, 2024, 1:43 PM

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wait

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ooh

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AE^2 is a^2 in the theorem and AF^2 is b^2 in the theorem which is 25 or 5^2 (c^2 in the theorem)

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is that it?

bright junco Apr 25, 2024, 1:44 PM

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nonononoo

mortal mango Apr 25, 2024, 1:44 PM

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oh crap

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oh wiat

bright junco Apr 25, 2024, 1:45 PM

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so a^2 is the hypotenuse of the triangle, so a^2 = EF

bright junco Apr 25, 2024, 1:45 PM

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mortal mango oh wiat

ill explain, hold on

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hypotenuse is the longest side on the traingle

mortal mango Apr 25, 2024, 1:45 PM

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i

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i'll just let u explain first and thern ask questions after

bright junco Apr 25, 2024, 1:47 PM

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that's alright, feel free to ask me anything. It's best to clear ur doubts on the go. If not the whole thing will collapse

mortal mango Apr 25, 2024, 1:47 PM

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ooh ok

mortal mango Apr 25, 2024, 1:48 PM

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bright junco so a^2 is the hypotenuse of the triangle, so a^2 = EF

i tohught the hypotenuse was c

bright junco Apr 25, 2024, 1:48 PM

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alright, would ya like me to start from the start?

mortal mango Apr 25, 2024, 1:48 PM

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yeah just go from start

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and i will see where i stop understanding

bright junco Apr 25, 2024, 1:48 PM

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okay, so let's get things straight

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so area of EFGH is 25m^2. To find the sides we can substitute the values onto the area of a square formula. Area = Side x side.

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so, 25m^2= 5m x 5m

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hence, EF is 5m.

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Ef = FG = HG = HE = 5m

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so now, to find out the value of AE and AF we needa use the pythagoreas theorem

bright junco Apr 25, 2024, 1:52 PM

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mortal mango i've done this so far but am 99% sure it is wrong:

using trial and error we can assume that AE = 3m and AF = 4m

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right?

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because using pythagoreas theorem:

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wait

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sorry

mortal mango Apr 25, 2024, 1:53 PM

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bright junco using trial and error we can assume that AE = 3m and AF = 4m

what did we assume it was before?

bright junco Apr 25, 2024, 1:53 PM

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mortal mango what did we assume it was before?

its not Ef its AF

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EF^2 = AF^2 + AE^2

mortal mango Apr 25, 2024, 1:54 PM

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ye

bright junco Apr 25, 2024, 1:54 PM

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5^2 = 3^2 + 4^2

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right?

mortal mango Apr 25, 2024, 1:54 PM

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yeah

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but i dont understand the trial and error part

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what did we assume AF and AE were before?

bright junco Apr 25, 2024, 1:55 PM

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we assumed it as 3 and 4

mortal mango Apr 25, 2024, 1:55 PM

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wait why tho

bright junco Apr 25, 2024, 1:55 PM

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mortal mango what did we assume AF and AE were before?

uh, okay the whole point of assuming is so that we can find out the values using pythagoreas theorem

mortal mango Apr 25, 2024, 1:56 PM

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wait

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oooh

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ooooohohhhhhh

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ok yeah contine

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my brain died there

mortal mango Apr 25, 2024, 1:56 PM

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bright junco 5^2 = 3^2 + 4^2

yea

bright junco Apr 25, 2024, 1:56 PM

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wanna dm me?

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we can voice call ad it'll make it easier for u to understand

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only if ya wanna?

mortal mango Apr 25, 2024, 1:58 PM

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i dont think i can talk rn

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cuz no mic

bright junco Apr 25, 2024, 1:58 PM

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that's aight,

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i'll just type

mortal mango Apr 25, 2024, 1:58 PM

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ye

bright junco Apr 25, 2024, 1:58 PM

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mortal mango my brain died there

alr, moving on

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so given in the question AE = r multiplied by AD, right?

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and AE = 3m

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so, 3m = r x AD

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AD is most probably 1. and hence r = 3

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i think. I hope it's right

mortal mango Apr 25, 2024, 2:01 PM

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ooh

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wait i think i see now

bright junco Apr 25, 2024, 2:02 PM

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yea, try 3

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when will ya get the results back?

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is it like homework or?

mortal mango Apr 25, 2024, 2:02 PM

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nah it's prac test question

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but there are no answers :/

bright junco Apr 25, 2024, 2:02 PM

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who will check it then?

mortal mango Apr 25, 2024, 2:02 PM

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idk lmao

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it's some math comp thing

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and past paper

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let me see if i can find answers to these papers

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yea there's no solutions for it

bright junco Apr 25, 2024, 2:03 PM

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darn

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maybe u can ask ur friends what they got, and cross check

mortal mango Apr 25, 2024, 2:05 PM

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ye i'll ask this one smart guy tmrw

bright junco Apr 25, 2024, 2:05 PM

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wait, is this grade 8>

mortal mango Apr 25, 2024, 2:05 PM

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and then update u on what he got

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yeah grade 8

bright junco Apr 25, 2024, 2:05 PM

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i dont remember grade 8 having questions like this..

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darn i have bad memory

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how old are u?

mortal mango Apr 25, 2024, 2:05 PM

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13

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well it's grade 7 and 8

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some problem solving math comp

bright junco Apr 25, 2024, 2:06 PM

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turning 13 this yr?

mortal mango Apr 25, 2024, 2:06 PM

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bright junco turning 13 this yr?

nah 14 this yr

bright junco Apr 25, 2024, 2:06 PM

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no way, me too

mortal mango Apr 25, 2024, 2:06 PM

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yoo

bright junco Apr 25, 2024, 2:06 PM

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but am not in grade 8 tho

mortal mango Apr 25, 2024, 2:06 PM

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wat

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grade 9?

bright junco Apr 25, 2024, 2:06 PM

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yea, i might skip to grade 10 tho

mortal mango Apr 25, 2024, 2:07 PM

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tf

bright junco Apr 25, 2024, 2:07 PM

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fingers crossed

mortal mango Apr 25, 2024, 2:07 PM

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so u are rlly smart

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basically

bright junco Apr 25, 2024, 2:07 PM

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i wouldnt say am rlly smart

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im okay level

mortal mango Apr 25, 2024, 2:07 PM

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lmao u are gonna skip two grades

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but alr

bright junco Apr 25, 2024, 2:08 PM

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are ya from the US?

mortal mango Apr 25, 2024, 2:08 PM

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mortal mango lmao u are gonna skip two grades

or is it ur country is diff

mortal mango Apr 25, 2024, 2:08 PM

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bright junco are ya from the US?

australia

mortal mango Apr 25, 2024, 2:08 PM

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mortal mango or is it ur country is diff

oh wait

bright junco Apr 25, 2024, 2:08 PM

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ohh, am in the UK

mortal mango Apr 25, 2024, 2:08 PM

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ooh

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are you born early 2010?

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wait

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yeah

mortal mango Apr 25, 2024, 2:08 PM

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mortal mango are you born early 2010?

i think that might be why you're in grade 9 or something

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there are some 2011s in my class

bright junco Apr 25, 2024, 2:09 PM

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no, late december

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like a week before new years

mortal mango Apr 25, 2024, 2:09 PM

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wait wat

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so did u skip a grade?

bright junco Apr 25, 2024, 2:09 PM

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im born on december 24

mortal mango Apr 25, 2024, 2:09 PM

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or uk school just better

bright junco Apr 25, 2024, 2:10 PM

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if i was born on 2010 early before July. then i would be in yr 10

mortal mango Apr 25, 2024, 2:10 PM

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huuhhhh

bright junco Apr 25, 2024, 2:10 PM

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but since am late december am in yr 9

mortal mango Apr 25, 2024, 2:10 PM

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uk school one year ahead of australia

bright junco Apr 25, 2024, 2:10 PM

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bc we gotta study till yr 13

mortal mango Apr 25, 2024, 2:10 PM

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oh

bright junco Apr 25, 2024, 2:10 PM

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which year do u gotta study till?

mortal mango Apr 25, 2024, 2:10 PM

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12

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whaat

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year 13

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i've never heard of that wtf

bright junco Apr 25, 2024, 2:10 PM

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yea, things are different

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🤣

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frfr

mortal mango Apr 25, 2024, 2:11 PM

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i thought uk education was similar to australia education

bright junco Apr 25, 2024, 2:11 PM

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it's called the sixth form. yr12-13

mortal mango Apr 25, 2024, 2:11 PM

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sixth form?

bright junco Apr 25, 2024, 2:11 PM

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yea lol

mortal mango Apr 25, 2024, 2:11 PM

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hold on so your education is a full year ahead of ours

bright junco Apr 25, 2024, 2:11 PM

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Wales, Ireland and the whole of Uk follow em

bright junco Apr 25, 2024, 2:12 PM

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mortal mango hold on so your education is a full year ahead of ours

nah, it's probably the same thing

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when does ur school yr start? mine starts on september and ill be in yr 9 then

mortal mango Apr 25, 2024, 2:12 PM

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february

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i think

bright junco Apr 25, 2024, 2:13 PM

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you think? 🤣

mortal mango Apr 25, 2024, 2:13 PM

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uh

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well tbh idek

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early next year

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is all ik

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which makes sense cuz new year so u go up a grade

bright junco Apr 25, 2024, 2:13 PM

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yea, so you'll be in yr 9 on a february 2025. whereas ill be in yr 9 on a september 2024

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practically just 4 months apart.

mortal mango Apr 25, 2024, 2:14 PM

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wait i thought u in grade 9 rn

bright junco Apr 25, 2024, 2:14 PM

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wait that's where things get complicated

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so, am not in England rn. am at mah gma's at another school

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in which am in grade 9

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it's complicated

mortal mango Apr 25, 2024, 2:15 PM

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so u grade 9 at one school and grade 8 at another

bright junco Apr 25, 2024, 2:16 PM

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which is why i wanna be in grade 10 tis september

bright junco Apr 25, 2024, 2:16 PM

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mortal mango so u grade 9 at one school and grade 8 at another

sorta, hmm.. its hard to say. cause im in yr 9 there aswell in a while.. so then

mortal mango Apr 25, 2024, 2:16 PM

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i thought u were grade 11 or smth because what is this stuff:

bright junco Apr 25, 2024, 2:16 PM

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oh that's stuff that i know

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i dont learn it in school. but i study outside of school

mortal mango Apr 25, 2024, 2:17 PM

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oooh

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so yeah u are smart basically

bright junco Apr 25, 2024, 2:17 PM

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no

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am dumb

mortal mango Apr 25, 2024, 2:17 PM

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lol ok

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oh ye the question i showed u was 1 out of 5 on a past paper that u have 2 hours to complete

bright junco Apr 25, 2024, 2:18 PM

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how much time u have left? or did u complete the test?

mortal mango Apr 25, 2024, 2:19 PM

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oh no i'm taking it tmrw

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was just doing last minute study

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practise questions

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cuz idk how ur meant to study for this type of stuff

bright junco Apr 25, 2024, 2:19 PM

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ohh, okayy. makes sense

mortal mango Apr 25, 2024, 2:19 PM

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thanks alot for the help btw, really appreciate it

bright junco Apr 25, 2024, 2:19 PM

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mortal mango cuz idk how ur meant to study for this type of stuff

what i do, is i read thro the questions. Then i try to find out the method to complete the sums. Then i move on to the next questions.

mortal mango Apr 25, 2024, 2:20 PM

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oh so u dont actually do the question

bright junco Apr 25, 2024, 2:20 PM

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(that's when am lazy. which is 24/7)

mortal mango Apr 25, 2024, 2:20 PM

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i see

bright junco Apr 25, 2024, 2:20 PM

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if i feel productive i do the questions, then my hands hurt and i stop

mortal mango Apr 25, 2024, 2:20 PM

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lmao

bright junco Apr 25, 2024, 2:20 PM

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hey?

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do ya know Kinematics?

mortal mango Apr 25, 2024, 2:21 PM

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nope

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am dumb

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dumb dumb

bright junco Apr 25, 2024, 2:21 PM

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nah, ya aint dumb

mortal mango Apr 25, 2024, 2:21 PM

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i am liek grade 5 math level

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we are currently learning factorisation

bright junco Apr 25, 2024, 2:21 PM

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woah, then u wouldnt be in yr 8, would u? You're just the right level. Or maybe smart too

mortal mango Apr 25, 2024, 2:21 PM

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soooo

bright junco Apr 25, 2024, 2:22 PM

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factorisation is pretty easy, it must be a breeze for u

mortal mango Apr 25, 2024, 2:22 PM

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ya im pretty sure other countries do it in like year 5 or 6

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idk why it is taking us so long

bright junco Apr 25, 2024, 2:22 PM

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lemme show u smth

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gimme a sec

mortal mango Apr 25, 2024, 2:22 PM

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https://en.wikipedia.org/wiki/Galois_theory

Galois theory

In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand.
Galois introduced the subject for stu...

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what is this

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this is witchcraft

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i don't understand half the words

bright junco Apr 25, 2024, 2:23 PM

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yr 8

mortal mango Apr 25, 2024, 2:23 PM

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oh

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oh wait that's wut we did

bright junco Apr 25, 2024, 2:23 PM

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yr 9

mortal mango Apr 25, 2024, 2:24 PM

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huh

bright junco Apr 25, 2024, 2:24 PM

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mortal mango Apr 25, 2024, 2:24 PM

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wth

bright junco Apr 25, 2024, 2:24 PM

#

mortal mango Apr 25, 2024, 2:24 PM

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why hcf and lcm for three straight years lmao

bright junco Apr 25, 2024, 2:24 PM

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then yr 12 we stop.

bright junco Apr 25, 2024, 2:24 PM

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mortal mango why hcf and lcm for three straight years lmao

the numbers get bigger, that's the only difference

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in yr 8, do u see where i got 49?

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that's cause i was pissed off. It was the same thing over and over again. So i quit and i stopped doing yr 8. then i moved onto yr 9.

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And it was the same damn thing

mortal mango Apr 25, 2024, 2:25 PM

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yeah

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LMAO

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what about the 33

mortal mango Apr 25, 2024, 2:25 PM

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bright junco that's cause i was pissed off. It was the same thing over and over again. So i q...

so school to ez for u basicall

bright junco Apr 25, 2024, 2:25 PM

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all of them are incompleted tests

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i get annoyed easily when things are easy. and when they're hard i'll get pissed off too

mortal mango Apr 25, 2024, 2:26 PM

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makes sense

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yo someone else is here

bright junco Apr 25, 2024, 2:27 PM

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yh, he's typin smth

mortal mango Apr 25, 2024, 2:27 PM

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maybe he can confirm ur answer

bright junco Apr 25, 2024, 2:27 PM

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he's smart

mortal mango Apr 25, 2024, 2:27 PM

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i mean it looks right to me but idk

bright junco Apr 25, 2024, 2:27 PM

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@boreal basalt is so darn smart

boreal basalt Apr 25, 2024, 2:27 PM

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A remark on the problem: you assumed ABCD to be a square, which is fine and helpful to find the value of r
Nonetheless the setting is for any pair of positive side lengths for AB and BC of rectangle ABCD, and the value of r is solvable from that regardless

bright junco Apr 25, 2024, 2:27 PM

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ya can ask him

bright junco Apr 25, 2024, 2:28 PM

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boreal basalt A remark on the problem: you assumed ABCD to be a square, which is fine and help...

thanks, so then 3 would be reasonable, right?

opal fernBOT Apr 25, 2024, 2:28 PM

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@gray robin has given 1 rep to @boreal basalt

mortal mango Apr 25, 2024, 2:29 PM

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boreal basalt A remark on the problem: you assumed ABCD to be a square, which is fine and help...

oh

bright junco Apr 25, 2024, 2:29 PM

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@mortal mango

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so then the answer's prolly 3

mortal mango Apr 25, 2024, 2:29 PM

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so the square thing wasn't necessary but just made it easier

boreal basalt Apr 25, 2024, 2:29 PM

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mortal mango so the square thing wasn't necessary but just made it easier

Precisely

mortal mango Apr 25, 2024, 2:29 PM

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love how he says "precisely"

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that

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s how u know he is smart

bright junco Apr 25, 2024, 2:30 PM

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🤣

boreal basalt Apr 25, 2024, 2:30 PM

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Though some would argue the area of a triangle, particularly that of a right-angled triangle, is simpler to get than the length of the hypotenuse, using Pythagoras's theorem

mortal mango Apr 25, 2024, 2:33 PM

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i dont see how u would solve for the right angle triangle so imma go with pythagoras

boreal basalt Apr 25, 2024, 2:33 PM

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mortal mango i dont see how u would solve for the right angle triangle so imma go with pythag...

Let me try

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Let's denote the length of AB as x metres

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Then since rectangle has area 1 sq. m, BC is 1/x metres long

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Then how long is DH, in terms of x?

mortal mango Apr 25, 2024, 2:35 PM

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cd is also x so dh would be rx?

boreal basalt Apr 25, 2024, 2:36 PM

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mortal mango cd is also x so dh would be rx?

Good, what about DE?

mortal mango Apr 25, 2024, 2:37 PM

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1/x + r(1/x)?

boreal basalt Apr 25, 2024, 2:38 PM

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Yes, equivalent to (1 + r)/x upon factorization

mortal mango Apr 25, 2024, 2:38 PM

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oh ye

boreal basalt Apr 25, 2024, 2:39 PM

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This should tell us the area of the right-angled triangle DEH, which is?

mortal mango Apr 25, 2024, 2:41 PM

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rx(1+x)

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i think

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i think that is wrong

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i got 1+rx * rx

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waot

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so then 1 + r^2 x^2

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?

boreal basalt Apr 25, 2024, 2:44 PM

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Nah, the "/x" in (1+r)/x means division by x

mortal mango Apr 25, 2024, 2:44 PM

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wait

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ooh

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hold on

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yeah

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i messed up

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1/2(rx * 1/x)

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is that it?

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r/2

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so the right angle triangle = r/2

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and the two triangles DEH and EAF have to = 12

boreal basalt Apr 25, 2024, 2:47 PM

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Slowly

mortal mango Apr 25, 2024, 2:47 PM

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is that right

boreal basalt Apr 25, 2024, 2:47 PM

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mortal mango 1/2(rx * 1/x)

How did you arrive at this expression?

mortal mango Apr 25, 2024, 2:48 PM

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OOH

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wait

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yea i messed it up

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i multiplied the base

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by AD

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but forgot to account for EA

boreal basalt Apr 25, 2024, 2:48 PM

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And what do we get, with EA accounted for?

mortal mango Apr 25, 2024, 2:49 PM

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so it would be 1/2(rx * 1/x + r(1/x))

boreal basalt Apr 25, 2024, 2:50 PM

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Well, better check what we had for the "height" DE

mortal mango Apr 25, 2024, 2:50 PM

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oh

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oh wait

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shoot

boreal basalt Apr 25, 2024, 2:51 PM

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Brackets are needed since multiplication precedes addition, but the addition is part of the formula for DE so it has to be done first

mortal mango Apr 25, 2024, 2:52 PM

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wat

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wait

boreal basalt Apr 25, 2024, 2:53 PM

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\begin{align*}
\text{Area of }\triangle DEH
&=\frac{1}{2}\times DE\times DH\
&=\frac{1}{2}\times\frac{1+r}{x}\times rx
\end{align*}

mortal mango Apr 25, 2024, 2:53 PM

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what the

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ooh

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i see now that helps

flint belfryBOT Apr 25, 2024, 2:54 PM

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ℝafain

mortal mango Apr 25, 2024, 2:54 PM

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so it would be 1/2 * (1+r)/x * rx

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oh

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yay

boreal basalt Apr 25, 2024, 2:55 PM

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Upon simplification, this area is $\frac{r(1+r)}{2}$

flint belfryBOT Apr 25, 2024, 2:55 PM

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ℝafain

mortal mango Apr 25, 2024, 2:55 PM

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yeah

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and then

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can u solve for r from that?

#

lemme see

#

wait

#

wat

bright junco Apr 25, 2024, 2:56 PM

#

what is the area given?

#

(Just to help ya out)

mortal mango Apr 25, 2024, 2:57 PM

#

uh

#

that

#

but now idk what to do with that

#

do i do the same thing for triangle EAF?

#

imma try that

bright junco Apr 25, 2024, 3:01 PM

#

pretty sure youre supposed to have the value for the area, then u substitute so that u can find r.

bright junco Apr 25, 2024, 3:01 PM

#

mortal mango

this is the formula to help u obtain the area.

mortal mango Apr 25, 2024, 3:02 PM

#

ooh

#

trial and error

#

?

bright junco Apr 25, 2024, 3:03 PM

#

no, not trial and error

mortal mango Apr 25, 2024, 3:03 PM

#

oh

#

wat

bright junco Apr 25, 2024, 3:03 PM

#

are u confused?

mortal mango Apr 25, 2024, 3:03 PM

#

ya idk what to do with the equation now

bright junco Apr 25, 2024, 3:05 PM

#

hmm

#

am reading ur past messages

mortal mango Apr 25, 2024, 3:05 PM

#

hold on

#

if the triangles are equal

#

wait

#

nvm

bright junco Apr 25, 2024, 3:05 PM

#

??

mortal mango Apr 25, 2024, 3:05 PM

#

we not using square strat

#

lol

#

nvm

bright junco Apr 25, 2024, 3:05 PM

#

go on, what're ur thoughts?

bright junco Apr 25, 2024, 3:06 PM

#

mortal mango

which triangle is this formula for?

mortal mango Apr 25, 2024, 3:06 PM

#

bright junco which triangle is this formula for?

DEH

bright junco Apr 25, 2024, 3:06 PM

#

flint belfry **ℝafain**

ok, so the area of DEH = this

mortal mango Apr 25, 2024, 3:07 PM

#

and then i got DEH/r - r = 1/2 but i dont think that does anythin

#

wat

#

no

#

i messed it up

#

oh

#

no

#

i didnt

bright junco Apr 25, 2024, 3:07 PM

#

ok, from what rafain told u, what do u understand?

#

dont confuse urself. Just tell me what u know

mortal mango Apr 25, 2024, 3:11 PM

#

bruh

#

i was typing on laptop

#

and then airplane mode randomly turned on

#

ok im back on laptop

bright junco Apr 25, 2024, 3:12 PM

#

alrighty

mortal mango Apr 25, 2024, 3:14 PM

#

AD = 1/x, DC = x
HD = rx
EA = r(1/x)
HED = 1/2(rx * (1/x + r * 1/x))

bright junco Apr 25, 2024, 3:14 PM

#

ok, so to find the area of HED

mortal mango Apr 25, 2024, 3:15 PM

#

mortal mango AD = 1/x, DC = x HD = rx EA = r(1/x) HED = 1/2(rx * (1/x + r * 1/x))

i added AD and EA, multiplied that by HD and divided in half

bright junco Apr 25, 2024, 3:16 PM

#

so if HED = EAF = FBG = GCH

#

then, HED + EAF + FBG + GCH = area of EFGH - area of ABCD

#

right?

mortal mango Apr 25, 2024, 3:17 PM

#

ye

bright junco Apr 25, 2024, 3:17 PM

#

so,

#

HED + EAF + FBG + GCH = (25m^2) - (1m^2)

#

HED + EAF + FBG + GCH = 24m^2

#

since all the triangles are the same, we'll take all of them as x

boreal basalt Apr 25, 2024, 3:18 PM

#

all the triangles are the same
Not really

#

Each of them has the same area though, so the same reasoning afterwards applies

bright junco Apr 25, 2024, 3:19 PM

#

right,

#

that's what i meant

#

so then, x + x + x + x =24m^2

#

4x = 24m^2

mortal mango Apr 25, 2024, 3:19 PM

#

oh so x is just 6

bright junco Apr 25, 2024, 3:19 PM

#

yup

#

so the area is 6m^2

#

then substitute that area, into the formula u obtained

mortal mango Apr 25, 2024, 3:20 PM

#

i think formula i obtained is wrong imma try real quick

bright junco Apr 25, 2024, 3:20 PM

#

flint belfry **ℝafain**

6m^2 = that

mortal mango Apr 25, 2024, 3:22 PM

#

mortal mango AD = 1/x, DC = x HD = rx EA = r(1/x) HED = 1/2(rx * (1/x + r * 1/x))

i tried doing it again and got that somehow tho

#

rx * (1/x + r(1/x))

bright junco Apr 25, 2024, 3:23 PM

#

flint belfry **ℝafain**

yea, that's right. To simply we get this equation

mortal mango Apr 25, 2024, 3:23 PM

#

oh

bright junco Apr 25, 2024, 3:23 PM

#

flint belfry **ℝafain**

u mean this?

#

u got that?

mortal mango Apr 25, 2024, 3:24 PM

#

i got that the first time with rafain's help

bright junco Apr 25, 2024, 3:24 PM

#

that's the same as this equation but simplified

mortal mango Apr 25, 2024, 3:24 PM

#

oh

#

ooh

#

oh ya

#

so u just substitute and then

bright junco Apr 25, 2024, 3:24 PM

#

yes. to make it easier to substitute. Try substituting now

bright junco Apr 25, 2024, 3:24 PM

#

mortal mango so u just substitute and then

THEN BOOOOM

#

u get the answer

mortal mango Apr 25, 2024, 3:25 PM

#

wait wat but what do i substitute

#

we got the answer to x

#

but there is no x

#

oh

#

i substitute the unsimplified one

#

and then simlify

bright junco Apr 25, 2024, 3:25 PM

#

flint belfry **ℝafain**

there is no x here

#

6m^2 = the simplified equation

mortal mango Apr 25, 2024, 3:26 PM

#

wait no

#

it gives the same thing

bright junco Apr 25, 2024, 3:26 PM

#

mortal mango

6 m^2 = to that equation

bright junco Apr 25, 2024, 3:26 PM

#

mortal mango it gives the same thing

what same thing?

mortal mango Apr 25, 2024, 3:26 PM

#

ooh

#

because deh is x

#

oh right

#

i forgot deh was x

#

that's why

bright junco Apr 25, 2024, 3:27 PM

#

its aight, try substituting now

mortal mango Apr 25, 2024, 3:31 PM

#

i got

#

12 = r + r^2

#

but

#

idk wat to do with that now

bright junco Apr 25, 2024, 3:31 PM

#

alr

#

gimme a sec

#

r would = 3. if u substituted

#

am not sure how to exactky show that.

mortal mango Apr 25, 2024, 3:34 PM

#

hol on a min it is quadratic

#

r^2 + r - 12 = 0

#

i think u do something with quadratic equation

#

but idk that

bright junco Apr 25, 2024, 3:35 PM

#

mhm

mortal mango Apr 25, 2024, 3:35 PM

#

u get smth that multiply to ac and adds up to b?

bright junco Apr 25, 2024, 3:35 PM

#

what i would do, is just assume that r = 3. Like, if r = 3
12 = 3 + 3^2

#

that's how i would show my working out.

mortal mango Apr 25, 2024, 3:35 PM

#

oh so just trial and error

bright junco Apr 25, 2024, 3:36 PM

#

im not sure

#

that's what id do

mortal mango Apr 25, 2024, 3:36 PM

#

idk i think there is a way to solve this with qe but we havent learnt yet

boreal basalt Apr 25, 2024, 3:36 PM

#

Two numbers which multiply to c/a and add up to -b/a

bright junco Apr 25, 2024, 3:36 PM

#

ohh, like 12 - r = r^2

#

like that?

mortal mango Apr 25, 2024, 3:37 PM

#

bright junco ohh, like 12 - r = r^2

uhh

bright junco Apr 25, 2024, 3:37 PM

#

then u would find the perfect square under 12, which is 9

#

then 12 -r = 9

mortal mango Apr 25, 2024, 3:37 PM

#

lmao i got no idea

bright junco Apr 25, 2024, 3:37 PM

#

so then 12 - 3 = 9. Then r = 3

mortal mango Apr 25, 2024, 3:38 PM

#

havent learnt any of this

bright junco Apr 25, 2024, 3:38 PM

#

inequalities and equalities?

mortal mango Apr 25, 2024, 3:38 PM

#

ye i havent learnt

#

oh

#

wat

#

that thing

#

< >

#

wait

bright junco Apr 25, 2024, 3:38 PM

#

yea

#

that thing

mortal mango Apr 25, 2024, 3:38 PM

#

bright junco then u would find the perfect square under 12, which is 9

wut is this

#

toh

#

tho

bright junco Apr 25, 2024, 3:38 PM

#

perfect square root

mortal mango Apr 25, 2024, 3:39 PM

#

i didnt know u could just do that to find answer

bright junco Apr 25, 2024, 3:39 PM

#

like 12 - r = r^2

#

so if its subtract r, tehn r^2 should be a perfect square less then 12

mortal mango Apr 25, 2024, 3:40 PM

#

wait

#

oooh

#

i see

#

what is this method called?

bright junco Apr 25, 2024, 3:40 PM

#

no idea

mortal mango Apr 25, 2024, 3:40 PM

#

lmao

#

trial and error should work at this point ig

#

damn

#

it's 1:40 now

#

waking ip 6:30

bright junco Apr 25, 2024, 3:41 PM

#

its called hash's idea

mortal mango Apr 25, 2024, 3:41 PM

#

i should probably go to sleep

mortal mango Apr 25, 2024, 3:41 PM

#

bright junco its called hash's idea

ol

#

lol

bright junco Apr 25, 2024, 3:41 PM

#

yh on ur exam paper just write that

mortal mango Apr 25, 2024, 3:41 PM

#

anyways thanks a lot hash and rafain for the help i rlly appreciate it

bright junco Apr 25, 2024, 3:41 PM

#

am kiddin, dont do that

mortal mango Apr 25, 2024, 3:41 PM

#

bright junco yh on ur exam paper just write that

fr

#

nah

#

ima do that

#

if i end up using it

#

will be funni

#

chances are low that there is a very similar question to this tho

bright junco Apr 25, 2024, 3:42 PM

#

sure, ur teacher will probably ask ya who on earth Hash is. Man am a famous mathmatician then

#

😎

mortal mango Apr 25, 2024, 3:42 PM

#

bright junco sure, ur teacher will probably ask ya who on earth Hash is. Man am a famous math...

ya ill jsut say it's a mathematician

bright junco Apr 25, 2024, 3:43 PM

#

aight, sleep tight

#

better do well on that exam tmrw

mortal mango Apr 25, 2024, 3:43 PM

#

wow just spent over 2 hours on 1 question

mortal mango Apr 25, 2024, 3:43 PM

#

bright junco better do well on that exam tmrw

thx

opal fernBOT Apr 25, 2024, 3:43 PM

#

@mortal mango has given 1 rep to @gray robin

mortal mango Apr 25, 2024, 3:43 PM

#

wat is that

bright junco Apr 25, 2024, 3:43 PM

#

as if i would know 🤣

mortal mango Apr 25, 2024, 3:43 PM

#

was that automatic thing

bright junco Apr 25, 2024, 3:43 PM

#

do i look like a walkin encyclopedia

mortal mango Apr 25, 2024, 3:44 PM

#

bright junco do i look like a walkin encyclopedia

yes

bright junco Apr 25, 2024, 3:44 PM

#

i have absolutely no idea what am saying or doing half the time

mortal mango Apr 25, 2024, 3:44 PM

#

lmao

#

only half?

bright junco Apr 25, 2024, 3:44 PM

#

nvm all the time

mortal mango Apr 25, 2024, 3:44 PM

#

aw i cant change my rep

opal fernBOT Apr 25, 2024, 3:44 PM

#

Weekly Leaderboard

Guild: Mathematics (624314920158232616)

 Rank     Rep  Name
   #1       4  megaislive#0000
   #1       4  lorddarpinger#0000
   #1       4  anaguma1#0000
   #4       3  monkey111112121233_#0000
   #4       3  mimshell#0000
   #4       3  rafain#0000
   #4       3  omegabet_#0000
   #8       2  coolzly.#0000
   #8       2  khulpu#0000
   #8       2  hash_24#0000

mortal mango Apr 25, 2024, 3:44 PM

#

ayy

#

u got 2 now

#

u are #1233040403779813408

#

what

#

#8

#

epic

#

rafain has 3

#

alr

#

i should sleep

#

cya

#

thx for helping agian

bright junco Apr 25, 2024, 3:45 PM

#

cya, do well

bright junco Apr 25, 2024, 3:45 PM

#

mortal mango thx for helping agian

dont mention it.

#

tell me how ya do tmrw

mortal mango Apr 25, 2024, 3:46 PM

#

aight

#

gonna be on 5 hrs of slepe

#

but should be fine

whole ledgeBOT Apr 25, 2024, 3:46 PM

#

The tickets system is disabled for this server. Enable it at: https://yagpdb.xyz/manage/624314920158232616/tickets/settings.

mortal mango Apr 25, 2024, 3:46 PM

#

is that the cmd

#

wait

#

close

#

how close

#

??

#

.close

solemn laurelBOT Apr 25, 2024, 3:46 PM

#

Unable to parse the channel name

mortal mango Apr 25, 2024, 3:46 PM

#

bruh wat

#

got no clue

warm ledge Apr 26, 2024, 6:34 AM

#

r = 3?

#

its easy but lengthy

warm ledge Apr 26, 2024, 6:34 AM

#

bright junco So answer could be r=3

yea i got it

#

if you want i can give solution itss kinda messy

#

just ping me

bright junco Apr 26, 2024, 6:44 AM

#

@warm ledge What's ur solution?

warm ledge Apr 26, 2024, 6:44 AM

#

wait i will send picture

bright junco Apr 26, 2024, 6:45 AM

#

alr

warm ledge Apr 26, 2024, 6:50 AM

#

#

#

i realised later i can just use x and y for the sides

bright junco Apr 26, 2024, 6:54 AM

#

im looking thro rn

#

sure, this works aswell.

#

honestly, depending on what works for u, either method 1, 2 or 3 (your method) could work. Either way you'll obtain the answer

warm ledge Apr 26, 2024, 7:04 AM

#

alright

bright junco Apr 26, 2024, 7:08 AM

#

nice job btw

#help grade 8 desperately