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)

Answer 1

Use A = (1/2)ab sin C.

A = 0.5·6·12·sin(48°) = 36·sin(48°) ≈ 36·0.7431 ≈ 26.75 yd².

Rounded to the nearest square yard: 27 square yards.