Question

What is the value of x?

___ m

Answer 1

43

Explanation:

The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.

`(67.2-32)/(67.2)=(x)/(81.9-x)`

`(35.2)/(67.2)=(x)/(81.9)`

Cross multiply to solve for x.

35.2(81.9 = 67.2(x)

2,882.2= 67.2x

43=x