Question

if 4, 5 are two sides of a triangle and include angle is 60 degrees then its area answer is 5 root 3

Answer 1

Let ABC be the triangle AC=5,AB=4
angel is 60
So sin60=perpendicular /hypotenuse
√3 / 2 = perpendicular /5
5√3 / 2 =perpendicular =height
Area of triangle =1/2 ×base × height
1/2× 4 × 5√3 /2
=5√3 (answer)