Question

Find the area of this triangle.
Area = [?] m²
√57
7T
12
8.9 m

Answer 1

A ≈ 32.5 m²

Explanation:

the area of a triangle given 2 sides and the included angle is

A
`(1)/(2)` ab sinC

where a, b are the 2 sides and C the included angle

let a = 8.9 , b =
`√(57)` and C =
`(7\pi )/(12)` = 105° , then

A =
`(1)/(2)` × 8.9 ×
`√(57)` × sin105°

= 4.45 ×
`√(57)` × sin105°

≈ 32.5 m²