Asked by bobert

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

15 feet
15 feet

16 feet
16 feet

17 feet
17 feet

9 feet

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C with a and b meeting at C. So
134 = (1/2)·a·24·sin41°.

a = 2·134 / (24·sin41°) = 268 / (24·sin41°) ≈ 268 / 15.7454 ≈ 17.03.

Rounded to the nearest whole number: 17 feet.