Question

Solve For Z

A. 12

B.

`4 √(7)`
C.

`3 √(7)`
D. 51

Answer 1

Triangle ABC and triangle BCD are similar, therefore the sides are in proportion:

`(z)/(9+7)=(7)/(z)`

cross multiply

`z^2=16\cdot7\to z=√(16\cdot7)\\\\z=√(16)\cdot\sqrt7\\\\z=4\sqrt7`

Answer: B. 4√7