Question

A segment is connected to two sides of a triangle so that it is parallel to the third side. What is the value of x?

Answer 1

A

Explanation:

Set up a ratio for the two triangles that are there.

x/(x + 10) = 20 / (20 + 8) Combine the two terms in the right denominator

x/(x + 10) = 20/28 Cross Multiply

28x = 20(x + 10) Remove the brackets on the right

28x = 20 x + 200 Subtract 20x from both sides

8x = 200 Divide by 8

x = 200 /8

x = 25