Question

Help, how do I find similarity between these two triangles?

Answer 1

You are looking for area according to the posted diagram.
Use the theorem which states If two triangles are similar, then the square of their scale factor is equal to the ratio of their areas. From that you can set up an equation and solve for the missing area.

Answer 2

The scale factor is 15/6.
So, (15/6)^2 = 210/x where x is the area of the smaller triangle.
(5/2)^2 = 210/x --> I reduced 15/6.
Solve for x or write what you can here and I'll check it. Be brave.

Answer 3

@SFAdrienne

Answer 4

Sorry about that, the website crashed on me.

Answer 5

Yes, that has been a major problem and source of frustration for me and my computer.

Can you solve this for x: (5/2)^2 = 210/x

Answer 6

I'm getting 34ft^2, but I'm not sure if I'm following correctly.

Answer 7

(5/2)^2 = 210/x

25/4 = 210/x
25*x = 4 * 210
25x = 840
x = ?

What is x?
@SFAdrienne

Answer 8

34.

Answer 9

840 divided by 25 does not come out to 34 on my calculator. Let me check. You check also.

Answer 10

33.6 is what comes out exactly, I only rounded. But that is my result.

Answer 11

@SFAdrienne I apologize. You are correct. The instructions say to the nearest whole number. So to the nearest whole number the answer is 34.

Answer 12

Thanks for your help. :)

Answer 13

Geometry is fun. Glad to help.
Don't forget to learn this theorem:
If two triangles are similar, then the square of their scale factor is equal to the ratio of their areas.

Answer 14

I'll remember that.