25.1k views
0 votes
Given ABC below, with mZC = 36°, a = 9.4, and b = 6, find the area of the triangle.

Select the correct answer below

Given ABC below, with mZC = 36°, a = 9.4, and b = 6, find the area of the triangle-example-1

1 Answer

0 votes

Answer:

16.6

Explanation:

Given:

m<C = 36°

a = 9.4

b = 6

This information given shows that it is a ∆ with two known side lengths and an included angle that lies between the two given sides.

Therefore, the formula, ½*a*b*sin(C), can be used in solving the area of the ∆.

Plug in the values:

Area = ½*9.4*6*sin(36)

Area = 9.4*3*sin(36)

Area = 16.6 units² (nearest tenth)

User JoniVR
by
9.0k points