Asked by hello

f the area of △ABC=528.3 mm2
△
𝐴
𝐵
𝐶
=
528.3
mm
2
, a=21 mm
𝑎
=
21
mm
, and ∠C=57 degrees
∠
𝐶
=
57

degrees
, then what is the length of b? Round your answer to the nearest tenth.

(1 point)
b=
𝑏
=
mm

All Answers 1

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

b = 2(528.3) / (21·sin57°) ≈ 1056.6 / (21·0.8386706) ≈ 59.99 mm.

Rounded to the nearest tenth: b = 60.0 mm.