Question

Use the formula A=12absinC
𝐴
=
1
2
𝑎
𝑏
sin
⁡
𝐶
to determine the area of △ABC
△
𝐴
𝐵
𝐶
. What is the area to the nearest square inch if a=16 inches
𝑎
=
16
inches
, b=18 inches
𝑏
=
18
inches
, and ∠C=43 degrees
∠
𝐶
=
43

degrees
?

(1 point)
Responses

98 inches2
98

inches
2

98 inches squared

134 inches2
134

inches
2

134 inches squared

196 inches2
196

inches
2

196 inches squared

105 inches

Answer 1

A = 1/2 · a · b · sin C = 1/2 · 16 · 18 · sin(43°) = 144 · sin(43°) ≈ 144 · 0.6820 = 98.21

Rounded to the nearest square inch: 98 in².