Question

use the image to answer the question
if triangle xyz ~ triangle ayb, and YB = 25 ft, YA = 16 ft, and YZ = 88 ft then what is the length of line YX

answers:
56.32 ft
1408 ft
63

Answer 1

Triangles XYZ and AYB are similar in that X↔A, Y↔Y, Z↔B. So the scale factor k = YZ / YB = 88 / 25 = 3.52. Then YX = k·YA = 3.52·16 = 56.32 ft.

Answer: 56.32 ft.