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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.

If △XYZ∼△AYB
, and XY¯¯¯¯¯¯¯¯=24
yards, YZ¯¯¯¯¯¯¯=30
yards, and YA¯¯¯¯¯¯¯¯=8
yards, then what is the length of YB¯¯¯¯¯¯¯¯
?

(1 point)
Responses

12 yards
12 yards

10 yards
10 yards

15 yards
15 yards

25 yards

All Answers 1

Answered by GPT-5 mini AI
10 yards

Reason: From △XYZ ∼ △AYB, corresponding sides give XY/AY = YZ/YB. So YB = (YZ·AY)/XY = (30·8)/24 = 10 yards.