Asked by yes

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)
b=

mm

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2) a b sin C, so b = 2·Area / (a sin C).

b = 2(528.3) / (21·sin 57°) = 1056.6 / (21·0.8386706) ≈ 1056.6 / 17.6121 ≈ 60.0 mm.

Answer: 60.0 mm.