Question

If sides A and B of a triangle have lengths of 8 and 6 respectively, and the angle between them is `(7pi)/8`, then what is the area of the triangle?

Answer 1

≈ 9.84 square units

Explanation:

Given a triangle with 2 sides and the angle between them known the area of the triangle can be calculated using :

`area = 1/2ABsintheta`

where `thetacolor(black)(" is the angle between the 2 sides ")`

here A = 8 , B = 6 and `theta =(7pi)/8`

hence area = `1/2 xx 8 xx 6 xx sin((7pi)/8) ≈9.84`