Question

Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.

Answer 1

1.73 units

Explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73