Question

What value of x will make the triangles similar by the SSS similarity theorem? A. 1.5 B. 20 C. 30 D. 67.5

Answer 1

just took the test its C.

Answer 2

The answer is the option C

`x=30`

Explanation:

see the attached figure to better understand the problem

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

`(x)/(45)=(50)/(75)`

solve for x

`x=45*50/75`

`x=30`