Question

Find the area of △ABC with side lengths b = 6 and c = 17, and included angle A = 135∘. Round your answer to the nearest tenth.

Answer 1

`A=36.1\ units^2`

Explanation:

we know that

The area of a triangle applying the law of sines is given by the formula

`A=(1)/(2)(b)(c)sin(A)`

where

A is the included angle between the sides b and c

substitute the given values

`A=(1)/(2)(6)(17)sin(135^o)=36.1\ units^2`