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

98 inches2

98 inches squared

105 inches2

105 inches squared

134 inches2

134 inches squared

196 inches2

Answer 1

Use A = (1/2)ab sin C:

A = 0.5·16·18·sin(43°) = 144·sin(43°) ≈ 144·0.6820 ≈ 98.2.

To the nearest square inch the area is 98 in².