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Question
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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 △ABC=26 inches2
, a=5
inches, and ∠C=60
degrees, then what is the measure of b to the nearest whole inch?

(1 point)
Responses

12 inches
12 inches

19 inches
19 inches

181 inches
181 inches

16 inches
16 inches
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All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C. So (1/2)(5)(b)sin60° = 26.
sin60° = √3/2, so (5b)(√3/2)/2 = 26 ⇒ (5b√3)/4 = 26 ⇒ b = 104/(5√3) ≈ 12.0.

Nearest whole inch: 12 inches.