Asked by puyr

Question
Use the image to answer the question.

a triangle upper A upper B upper C; The edge upper A upper B is labeled c. The edge upper A upper C is labeled b. The edge upper B upper C is labeled a.

If the area of △ABC=134
square feet, m∠C = 41°
, and b=24
feet, then what is the length of side a
? Round your answer to the nearest whole number.

(1 point)
Responses

9 feet
9 feet

17 feet
17 feet

16 feet
16 feet

15 feet
15 feet
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All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C, with b = 24 and C = 41°. So
a = 2·Area / (b sin C) = 2·134 / (24·sin41°) ≈ 268 / (24·0.65606) ≈ 17.0.

Rounded to the nearest whole number: 17 feet.