Similarity In Right Triangles | Mathematics | Page 1

narrow mirage Dec 9, 2024, 8:04 AM

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I have 0 idea what im doing, i genuinely dont know where to start

marsh loomBOT Dec 9, 2024, 8:04 AM

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flint knoll Dec 9, 2024, 8:05 AM

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narrow mirage I have 0 idea what im doing, i genuinely dont know where to start

let's consider the first one

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do you see where similarity comes into play

narrow mirage Dec 9, 2024, 8:08 AM

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nope

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i mean

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2 right angles (?)

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those seem pretty similar

gleaming sierra Dec 9, 2024, 8:10 AM

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narrow mirage I have 0 idea what im doing, i genuinely dont know where to start

There's two right angled triangles

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One is in the other

narrow mirage Dec 9, 2024, 8:11 AM

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oh yeah

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i guess there is

gleaming sierra Dec 9, 2024, 8:11 AM

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And they both have right angles

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And share one angle

narrow mirage Dec 9, 2024, 8:11 AM

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mhm mhm

gleaming sierra Dec 9, 2024, 8:11 AM

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So we can see they are similar

narrow mirage Dec 9, 2024, 8:12 AM

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yes

gleaming sierra Dec 9, 2024, 8:12 AM

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So the ratios of all their corresponding sides should be equal

narrow mirage Dec 9, 2024, 8:13 AM

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you lost me

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or

gleaming sierra Dec 9, 2024, 8:13 AM

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Basically similar triangles

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Are two triangles

narrow mirage Dec 9, 2024, 8:13 AM

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so the bottom of the triangle of the right should be 9

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as well

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or a multiple of 9

gleaming sierra Dec 9, 2024, 8:13 AM

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Which have the have the same 3 angles

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But the side lengths dont have to be the same

narrow mirage Dec 9, 2024, 8:14 AM

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huh

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then how will they be similar

gleaming sierra Dec 9, 2024, 8:14 AM

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Ah you're confused with congruence

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Cazoom-Maths-Teaching-Resources-Similarity-vs-Congruent.jpg

narrow mirage Dec 9, 2024, 8:15 AM

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i wouldnt say i am exactly

gleaming sierra Dec 9, 2024, 8:15 AM

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You see these congruence figures like they're all the same size

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Similar figures are the same figures but they can have different scales

narrow mirage Dec 9, 2024, 8:16 AM

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i see

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so

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how does this help me find x

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thats what im lost on

gleaming sierra Dec 9, 2024, 8:16 AM

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So the scale factor is constant for the two corresponding triangles

narrow mirage Dec 9, 2024, 8:17 AM

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what

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😭

gleaming sierra Dec 9, 2024, 8:17 AM

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Ok wait

Screenshot_20241209_161730_com.example.android.notepad.jpg

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We have two similar triangles

narrow mirage Dec 9, 2024, 8:17 AM

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right

gleaming sierra Dec 9, 2024, 8:18 AM

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One has side lengths 10 and 6

narrow mirage Dec 9, 2024, 8:18 AM

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would the bottom of the right be 3

gleaming sierra Dec 9, 2024, 8:18 AM

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Yea

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Makes sense now fr

narrow mirage Dec 9, 2024, 8:18 AM

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i get that much, i was managing until they started adding that blue line

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and stuff

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altitude

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uh

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hyspotose or something

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and

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leg

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im being asked to find that stuff which i do NOT get

gleaming sierra Dec 9, 2024, 8:22 AM

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Alright so

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Let's start with this qn

narrow mirage Dec 9, 2024, 8:22 AM

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🗒️

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listening

gleaming sierra Dec 9, 2024, 8:22 AM

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gleaming sierra Alright so

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Firstly

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Express the length of this side

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In terms of x

narrow mirage Dec 9, 2024, 8:23 AM

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9x

gleaming sierra Dec 9, 2024, 8:23 AM

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Typo?

narrow mirage Dec 9, 2024, 8:23 AM

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nah i might just be slow

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why isnt it 9x

gleaming sierra Dec 9, 2024, 8:23 AM

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9x as in x multiplied by 9?

narrow mirage Dec 9, 2024, 8:23 AM

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yea

gleaming sierra Dec 9, 2024, 8:24 AM

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Why do you think it's that

narrow mirage Dec 9, 2024, 8:24 AM

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or 9+x, since the other side is 9

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thats all

gleaming sierra Dec 9, 2024, 8:24 AM

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No alright so

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The side were tryna find

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Let's call it u

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From the diagram we can see that

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The length of u

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Plus 9

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Is the length of x

narrow mirage Dec 9, 2024, 8:25 AM

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right

gleaming sierra Dec 9, 2024, 8:25 AM

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u+9=x

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So u =?

narrow mirage Dec 9, 2024, 8:25 AM

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right

gleaming sierra Dec 9, 2024, 8:25 AM

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So what is u equal to

narrow mirage Dec 9, 2024, 8:25 AM

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oh

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uh

gleaming sierra Dec 9, 2024, 8:26 AM

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In terms of x

narrow mirage Dec 9, 2024, 8:26 AM

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u=x-9

gleaming sierra Dec 9, 2024, 8:26 AM

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Ye

gleaming sierra Dec 9, 2024, 8:27 AM

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gleaming sierra Alright so

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Next what is this length

narrow mirage Dec 9, 2024, 8:27 AM

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no clue honest

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something to do with 15?

gleaming sierra Dec 9, 2024, 8:28 AM

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Does pythagorean theorum ring a bell

narrow mirage Dec 9, 2024, 8:28 AM

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cant remember it

gleaming sierra Dec 9, 2024, 8:28 AM

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I think you might need to revise a teeny bit

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Do you have a textbook

narrow mirage Dec 9, 2024, 8:28 AM

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nope

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i have google tho

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oh i remember it now

gleaming sierra Dec 9, 2024, 8:28 AM

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Welp then you can try some khan academy

narrow mirage Dec 9, 2024, 8:29 AM

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not that i know how to apply it

narrow mirage Dec 9, 2024, 8:29 AM

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gleaming sierra Welp then you can try some khan academy

to be frank i dont have alot of time

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I only want to know how to answer the problems infront of me as quick as possible

gleaming sierra Dec 9, 2024, 8:30 AM

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Uh I gtg soon

narrow mirage Dec 9, 2024, 8:30 AM

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flint knoll let's consider the first one

you still around?

gleaming sierra Dec 9, 2024, 8:30 AM

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But I'd recommend just having Google on the sidetab

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Cya

low ledge Dec 9, 2024, 10:39 AM

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@narrow mirage i can help you if you want

narrow mirage Dec 9, 2024, 10:43 AM

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nah its cool lol i made it

pine olive Dec 9, 2024, 7:30 PM

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narrow mirage I have 0 idea what im doing, i genuinely dont know where to start

the first one is 15x9= 135

low ledge Dec 9, 2024, 10:02 PM

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pine olive the first one is 15x9= 135

no.. x = 25

low ledge Dec 9, 2024, 10:04 PM

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narrow mirage nah its cool lol i made it

if you have any question regarding geometry feel free to dm me i would be happy to help

narrow mirage Dec 9, 2024, 10:49 PM

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Thank you bro

#Similarity In Right Triangles