Asked by bobert

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
.​

(1 point)
Responses

19 inches2

19 inches squared

82 inches2

82 inches squared

9 inches2

9 inches squared

41 inches2

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C = 0.5(7)(12) sin77° = 42·sin77° ≈ 42·0.9744 ≈ 40.94 ≈ 41 in²

Answer: 41 inches².