geometry question regarding triangles

[polar jolt]

just kind of confused how all the bases being parallel works to find the right answer, the answer is the area of the whole shaded region

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[lilac tendon]

Try looking for similar triangles.

[ancient oriole]

What do the circles indicate?

[polar jolt]

are they all similar

[polar jolt]

maybe thatthey are the same length?

not sure thats all i got from that question

[tiny prawn]

With what law can you prove that?

[polar jolt]

Um if two angles are same and one side is proportionate ?

[tiny prawn]

Yeah

[polar jolt]

well we know they share one angle at the bottom and the bases are parallel and the sides are the same

but idk how to progress

💔

[tiny prawn]

Then just make ratios now

You know FD=DB=BA from the diagram

[polar jolt]

but doesnt simialr angles only indicate same same angles nad proportions, if triangle ADE is 16cm and the bases are all the same i dont see how i can get the base and height for ade

[tiny prawn]

You don't

They're in direct proportion

[polar jolt]

what does this mean

💔

if i cant find the base and the height how do i get the base values to find the other n umbers

[tiny prawn]

Area of ADE is in direct proportion to area of AFG

Try to figure out why, and in what way

[polar jolt]

becasue they share one angle, we know one side is the same and another angle bc of f pattern

but how do we know in what proportion

im just kinda lost

[velvet hearth]

try to find a length ratio from somewhere

[polar jolt]

ik its prob something to do with the bases being parallel but i dont know to get the ratio

😭

[velvet hearth]

there’s another piece of information I don’t think you’ve brought up yet

kocher has though

[polar jolt]

that the 3 bases are parallel?

[velvet hearth]

no you’ve said that like a million times

[polar jolt]

just tell me bro

wtf

[velvet hearth]

jeez alright I wasn’t sure if that would count as spoiling the question

[velvet hearth]

you know how AB, BD, DF are marked as equal

[polar jolt]

bro i really dont care

its just my homework

[polar jolt]

yes

[velvet hearth]

yeah but I do smh

[polar jolt]

im going to get spanked for handing it late

[velvet hearth]

so if you have ADE and AFG, which you know are similar, can you find the three pairs of corresponding sides

[polar jolt]

erm we dont have afg tho

[velvet hearth]

you kinda do its right there in the diagram

[polar jolt]

also why would we need the three sides if we just need the base and height

[velvet hearth]

what you don’t have is its area

[polar jolt]

yea

[velvet hearth]

you don’t have a height

[polar jolt]

ya

ok maybe im stupid bro i understand u guys are saying but i stilldont know what to do

✌️

u guys tried

[velvet hearth]

bruh

[velvet hearth]

you know how doubling the side lengths of something quadruples the area

like square with side length 1 has area 1 but square with side length 2 has area 4

[polar jolt]

I did not know that but ok

[velvet hearth]

you probably should!

enlarging something by a factor of x also increases the area by a factor of x^2

[polar jolt]

okay

[shut marten]

@polar jolt

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