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.

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

(1 point)
Responses

196 inches2

196 inches squared

98 inches2

98 inches squared

105 inches2

105 inches squared

134 inches2

Answer 1

Area = (1/2)ab sin C = (1/2)(16)(18) sin 43° = 144 sin 43° ≈ 144(0.6820) ≈ 98.2 ≈ 98 in².

Answer: 98 inches².