Question

If △XYZ ∼ △AYB
△
𝑋
𝑌
𝑍

∼

△
𝐴
𝑌
𝐵
, and YB=25
𝑌
𝐵
=
25
ft, YA=16
𝑌
𝐴
=
16
ft, and YZ = 88
𝑌
𝑍

=

88
ft, then what is the length of YX¯¯¯¯¯¯¯¯
𝑌
𝑋
¯
?

(1 point)
Responses

56.32 ft.
56.32 ft.

67.6 ft.
67.6 ft.

137.5 ft.
137.5 ft.

79 ft.

Answer 1

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

XY = YA * (YZ/YB) = 16 * (88/25) = 16 * 3.52 = 56.32 ft.

Answer: 56.32 ft.