Question

Referring to triangle ABC, find the area of the triangle.

a = 42.5 m, c = 35.5 m, B = 153.5°
Round to three significant digits.

Answer 1

`Area = 337`

Explanation:

Given

`a = 42.5`

`c = 35.5`

`B = 153.5^\circ`

Required

Area of triangle

This is calculated as:

`Area = 0.5 *a* c * \sin(B)`

This gives:

`Area = 0.5 *42.5* 35.5 * \sin(153.5)`

`Area = 0.5 *42.5* 35.5 * 0.4462`

`Area = 336.602125`

`Area = 337` --- approximated