Question

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.

Use the trigonometry area formula to find the area (to the nearest inch) of △ABC
, given a=7 inches
, b=12 inches
, and ∠C=77 degrees
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(1 point)
Responses

82 inches2

82 inches squared

41 inches2

41 inches squared

9 inches2

9 inches squared

19 inches2

Answer 1

Area = (1/2)ab sin C = (1/2)(7)(12) sin 77° = 42 · sin77° ≈ 42 · 0.9744 ≈ 40.92 in^2 ≈ 41 in^2.