Use the formula
A=
1
2
absinC
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
?
To calculate the area of △ABC using the given formula A = 1/2 * absinC, we need to substitute the given values.
a = 16 inches
b = 18 inches
∠C = 43 degrees
A = 1/2 * 16 * 18 * sin(43)
Using a calculator, we can determine that sin(43) is approximately 0.68199836006.
A = 1/2 * 16 * 18 * 0.68199836006
A ≈ 97.6792032496
Rounding it to the nearest square inch, the area of △ABC is approximately 98 square inches.