Question

What is the value of m inthe figure below? In this diagram, ABD~BCD

Answer 1

C. sqrt(95)

Explanation:

The three triangles are similar, so you can use the right triangle altitude theorem.

(14 + 5)/m = m/5

19/m = m/5

m^2 = 19 * 5

m^2 = 95

m = sqrt(95)

Answer: C. sqrt(95)