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.

Find the area of the triangle if a=9 cm
, b=5 cm
, and ∠C=40 degrees
. Round your answer to the nearest tenth.

(1 point)
Responses

10 cm2

10 cm squared

13.8 cm2

13 point 8 cm squared

14.5 cm2

14 point 5 cm squared

17.2 cm2

Answer 1

Area = 1/2·(a)(b)·sin(C) because a and b include angle C.

So area = 1/2·9·5·sin(40°) = 22.5·sin(40°) ≈ 22.5·0.6428 ≈ 14.5 cm².

Answer: 14.5 cm².