Can anyone help my find the hidden length

[native charm]

8th grade review I lowkey forgot how to do this

[potent drum]

What is the “hidden length” ?

[native charm]

I need to find the length of YC

[median thunder]

show that $$\triangle CRM \cong \triangle CYW$$

[proper bison]

trigonometria

[potent drum]

I pretty sure you can do that with basic proportions

[native charm]

What’s the symbol in the middle

[potent drum]

Congruent

[median thunder]

congruence symbol

[native charm]

8th grade doesn’t each that symbol in Florida

[potent drum]

It’s a symbol in general geometry

If you’re taking geometry you are guaranteed to eventually learn it

[native charm]

Oh

[potent drum]

Side length WR is 14
Side length WY is 6
Side length RC is 28
YC is x

[median thunder]

that symbol means the two triangles are similar.

I am sure you can take it from here

[potent drum]

Do you notice anything between WR and WY

[native charm]

MR?

[potent drum]

My bad

I meant MR, not WR

[native charm]

Maybe that there both vertical I’m not even sure this is past my curriculum but I want to be shed

ahead *

[potent drum]

If the triangles are similar, then that means the ratio between every side of the triangle is the same. It’s as if ΔWYC is scaled down by a constant value from ΔMRC

If you know the scale factor between MR and WY, you can find the scale factor between RC and YC

[median thunder]

to put it simply $$\frac{MW}{CW}=\frac{MR}{YC}$$

[proper bison]

trigonometria

[native charm]

Ohhhh

wait wth

That’s so easy

[median thunder]

it really is not give yourself some credit for being smart

[native charm]

Thanks

I just need to get a habit of studying

[median thunder]

I don't have any tips for that saddly. Thats the exact same problem I'm facing with many students so , you are not alone on this. Balance rest and studying and you will do great. Stay curious!

[native charm]

Thanks Rel

[potent drum]

No problem, do you have any idea of what the answer is ?

[native charm]

I’ve gotten 21

[potent drum]

What was your work process

[native charm]

But that makes

No sense

I’ll explain what I did

So

[potent drum]

WY = 6
MR = 14
You can find the scale factor by doing MR ÷ WY
The result from that gives you the multiplier of all the sides of ΔMRC in comparison to ΔWYC

14 is x times larger than 6, or
6 • x = 14

[native charm]

Oh I was close I redid it and got 12

[potent drum]

Yessir

[native charm]

So it’s 12

[potent drum]

Yeah