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.

If the area of △ABC=134
square feet, m∠C = 41°
, and b=24
feet, then what is the length of side a
? Round your answer to the nearest whole number.

(1 point)

Answer 1

Area = (1/2)ab sin C, so
a = 2(Area)/(b sin C) = 2(134)/(24 sin 41°) ≈ 17.0.

Rounded to the nearest foot: 17 feet.