Find the area of the triangle. If necessary, round the answer to two decimal places.
-A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft and form an included angle of 125°. The owner wants to approximate the area of the yard, so that he can determine the
Amount of fertilizer and grass seed to be purchased. Find the area of the yard rounded to the nearest square
Foot.
A) 5200 sq. ft
B) 2130 sq. ft
C) 4260 sq. ft
D) 2129 sq. ft

Question

Quizplus · Accepted Answer

The area of a triangle when two sides and the included angle are known can be found using the formula: $ \frac{1}{2}ab\sin(C) $, where $a$ and $b$ are the sides and $C$ is the included angle. Here, $a = 65$ ft, $b = 80$ ft, and $C = 125^\circ$. Plugging these values into the formula gives an area of approximately 2130 sq. ft.

Find the Area of the Triangle