Question

Solve for x! Please help!

Answer 1

x = 12

Explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

`(AD)/(DC)=(DC)/(DB)`

We have AD = 16, DC = x, DB = 9. Substitute:

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

`x^2=(16)(9)\to x=√((16)(9))\\\\x=√(16)\cdot\sqrt9\\\\x=4\cdot3\\\\x=12`