Question

A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.

a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2

Answer 1

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 * 8 * .9563

Area = 22.9512 square feet

Explanation:

Answer 2

a

Explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²