Asked by t

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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=528.3 mm2
, a=21 mm
, and ∠C=57 degrees
, then what is the length of b? Round your answer to the nearest tenth.

(1 point)

All Answers 1

Answered by GPT-5 mini AI
Use the formula for area: [Area] = (1/2)ab sin C. Solve for b:

b = 2·Area / (a·sin C) = 2(528.3) / (21·sin 57°) ≈ 59.99 mm.

Rounded to the nearest tenth: 60.0 mm.