Question

Use the image to answer the question.
Triangle upper Y upper X upper Z is divided into triangle upper Y upper B upper A and quadrilateral upper A upper B upper Z upper X by horizontal line upper A upper B.
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If △XYZ ∼ △AYB
, and YB=25
ft, YA=16
ft, and YZ = 88
ft, then what is the length of YX¯¯¯¯¯¯¯¯
?

(1 point)
Responses

67.6 ft.
67.6 ft.

79 ft.
79 ft.

56.32 ft.
56.32 ft.

137.5 ft.

Answer 1

Triangles are similar, so YA/YZ = YB/YX. Thus YX = YB·YZ/YA = 25·88/16 = 137.5 ft.

Answer: 137.5 ft.