Question

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. ft² The figure contains a triangle. One side is 3.2 feet. A second side is 4.7 feet. The angle between the given sides is 62 degrees.

Answer 1

We are given two sides and their included angle. Using the side-angle-side method we can find the Area of the triangle using the following formula:

Area = 0.5 ab sin(γ)

a = Measure of first side = 3.2 feet
b = Measure of second side = 4.7 feet
γ = Angle between the two sides = 62 degrees

Using the values in the above formula, we get:

Area = 0.5 x ( 3.2) x (4.7) x (sin(62))

Area = 6.64 square feet (rounded to nearest hundredth) 

Thus, the Area of the given triangle is 6.64 square feet