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

Answer:
C. sqrt(95)
Step-by-step 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)