Question

If
, and YB = 26 ft, YA = 14 ft and YZ = 92 ft, then what is they length of
?
(1 point)
△XYZ ∼ △AYB Y¯¯¯¯X¯¯¯¯
170.86 ft
56.32 ft
39.56 ft
49.53 ft

Answer 1

Since △XYZ ∼ △AYB, corresponding sides give XY/YA = YZ/YB. So

XY = YA * (YZ/YB) = 14 * (92/26) = 14 * (46/13) = 49.53846... ≈ 49.53 ft.

Answer: 49.53 ft.