Question

I need to solve for x

Answer 1

`\large\boxed{x=15}`

Explanation:

ΔABC and ΔDB are similar (AA). Therefore the sides are in proportion:

`(AB)/(BC)=(BD)/(AB)`

We have

AB = x

BC = 25

BD = 9

Substitute:

`(x)/(25)=(9)/(x)` cross multiply

`x^2=(25)(9)\to x=√((25)(9))\\\\x=√(25)\cdot\sqrt9\\\\x=5\cdot3\\\\x=15`