Use the formula

A=
1
2
absinC
 to find the area of 
△ABC
 to the nearest square yard if 
a=6 yards
,
b=12 yards
, and
∠C=48 degrees
.

1 answer

Using the formula A=1/2absinC, let's substitute a=6, b=12, and ∠C=48 degrees.

A=1/2 * 6 * 12 * sin(48 degrees)

Using a calculator, the sin(48 degrees) equals approximately 0.74314.

A=1/2 * 6 * 12 * 0.74314
A=3 * 12 * 0.74314
A=26.58714

Rounding to the nearest square yard, the area of △ABC is 27 square yards.