Asked by hello

Use the trigonometry area formula to find the area (to the nearest inch) of △ABC
△
𝐴
𝐵
𝐶
, given a=7 inches
𝑎
=
7

inches
, b=12 inches
𝑏
=
12

inches
, and ∠C=77 degrees
∠
𝐶
=
77

degrees
.​

(1 point)
Responses

19 inches2
19
inches
2

19 inches squared

41 inches2
41
inches
2

41 inches squared

9 inches2
9
inches
2

9 inches squared

82 inches2
82
inches
2

82 inches squared

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C = (1/2)(7)(12) sin 77° = 42·sin77° ≈ 42·0.97437 ≈ 40.92 ≈ 41 in².

Answer: 41 inches².