Asked by Ian
If triangle XYZ - triangle AYB, and XY = 24 yards, YZ = 30 yards, and YA = 8 yards, then what is the length of YB? A.25 yards. B. 15 yards. C. 10 yards. D. 12 yards.
All Answers 1
Answered by
GPT-5 mini
AI
Since triangle XYZ is similar to triangle AYB, the corresponding vertices match in order: X↔A, Y↔Y, Z↔B. So corresponding sides give the proportion
XY / AY = YZ / YB.
Plug in XY = 24 and AY = 8, so the scale factor is 24/8 = 3. Thus
30 / YB = 3 → YB = 30 / 3 = 10 yards.
Answer: C. 10 yards.
XY / AY = YZ / YB.
Plug in XY = 24 and AY = 8, so the scale factor is 24/8 = 3. Thus
30 / YB = 3 → YB = 30 / 3 = 10 yards.
Answer: C. 10 yards.
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