Question

Find the distance on maple street, in miles, from M to P

Answer 1

Answer:

8

Step-by-step explanation:

Use the right triangle altitude theorem. The three triangles are right triangles and are similar.

MP/FP = FP/EP

MP/12 = 12/(EM + MP)

MP/12 = 12/(10 + MP)

MP(10 + MP) = 144

MP^2 + 10MP - 144 = 0

(MP + 18)(MP - 8) = 0

MP = -18  or  MP = 8

Since a side length cannot be negative, the answer is MP = 8

Answer: 8