Question

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

𝑡
ℎ
𝑒

𝑎
𝑟
𝑒
𝑎

𝑜
𝑓

𝑡
ℎ
𝑒

𝑡
𝑟
𝑖
𝑎
𝑛
𝑔
𝑙
𝑒

𝑖
𝑓

𝑎

=

9

𝑐
𝑚
,

𝑏

=

5

𝑐
𝑚
,

𝑎
𝑛
𝑑


∠
𝐶

=

40

deg
⁡
𝑟
𝑒
𝑒
𝑠
.

𝑅
𝑜
𝑢
𝑛
𝑑

𝑦
𝑜
𝑢
𝑟

𝑎
𝑛
𝑠
𝑤
𝑒
𝑟

𝑡
𝑜

𝑡
ℎ
𝑒

𝑛
𝑒
𝑎
𝑟
𝑒
𝑠
𝑡

𝑡
𝑒
𝑛
𝑡
ℎ
.


(1 point)
Responses

10 cm2
10

𝑐
𝑚
2
10 cm2
10

𝑐
𝑚
2

13.8 cm2
13.8

𝑐
𝑚
2
13.8 cm2
13.8

𝑐
𝑚
2

17.2 cm2
17.2

𝑐
𝑚
2
17.2 cm2
17.2

𝑐
𝑚
2

14.5 cm2

Answer 1

Area = (1/2)ab sin C = 0.5(9)(5) sin 40° = 22.5 · sin 40° ≈ 22.5(0.6428) ≈ 14.462 → 14.5 cm².