Asked by hello

Find the area of the triangle if a=9 cm
𝑎
=
9

cm
, b=5 cm
𝑏
=
5

cm
, and ∠C=40 degrees
∠
𝐶
=
40

degrees
. Round your answer to the nearest tenth.

(1 point)
Responses

14.5 cm2
14.5

𝑐
𝑚
2

14 point 5 cm squared

13.8 cm2
13.8

𝑐
𝑚
2

13 point 8 cm squared

10 cm2
10

𝑐
𝑚
2

10 cm squared

17.2 cm2

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin C because C is the angle between sides a and b.

Area = 0.5 × 9 × 5 × sin(40°) = 22.5 × sin(40°) ≈ 22.5 × 0.6428 = 14.4645 ≈ 14.5 cm².

Answer: 14.5 cm².