Question

I have a problem in math. I have to figure out how to tell their similar through scale factor, to prove their similar, I don't know what that is, I'm stuck. Then I have to explain why c = 60 degrees (see image).

Answer 1

see explanation

Explanation:

If the ratios of the 3 pairs of corresponding sides of the 2 triangles are equal , then the triangles are similar (SSS postulate )

the3 ratios of the 2 triangles , left to right are all equal to

`(3)/(4)`

Then the triangles are similar by the SSS postulate

the corresponding angles of similar triangles are congruent, then

∠ c = 60°

Also both triangles have 3 congruent sides and are therefore equilateral triangles with all angles equal to 60°, so

c = 60°