Question

Find the area of the triangle, is side a=12.7, side b=8.6 and the angle between them(C) is
73 degrees. Hint: Find the area using the formula
Area=(1/2)*a*b*sin(C).

Use the formula: Area = ½ ab sin (C).

Answer 1

Task. Find the area of the triangle, is side $a=12.7$, side $b=8.6$ and the angle between them (C) is 73 degrees.

Solution. The area of the triangle can be computed by the following formula

$S=\frac{1}{2}ab\sin C$

Substituting the values we get

$S=\frac{1}{2}*12.7*8.6*\sin(73{}^{\circ})=54.61*0.9563=52.2.$

Answer. $S=52.2$