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 formula A=12absinC
to find the area of △ABC
to the nearest square yard if a=6 yards
, b=12 yards
, and ∠C=48 degrees
.

(1 point)
Responses

40 yards2

40 yards squared

27 yards2

27 yards squared

30 yards2

30 yards squared

24 yards2

Answer 1

Area = (1/2)ab sin C = 0.5(6)(12) sin 48° = 36 sin 48° ≈ 36(0.7431) ≈ 26.75 ≈ 27 yd².

Answer: 27 yards².