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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).

I have a problem in math I have to figure out how to tell their similar through scale factor to prove their similar I dont know what that is Im stuck Then I hav class=

Respuesta :

Answer:

see explanation

Step-by-step 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

[tex]\frac{3}{4}[/tex]

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°

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