Question

The triangles are similar by the AA Similarity Postulate. Find the value of X.

Answer 1

x = 12

Explanation:

If the triangle are similar, then the sides are in proportion:

`(x)/(18)=(15)/(15+7.5)`

`(x)/(18)=(15)/(22.5)` cross multiply

`22.5x=(18)(15)`

`22.5x=270` divide both sides by 22.5

`x=12`