7. Non-Right Triangles

Find the area of the triangle: $A=30\degree$, $b=10m$, $B=80\degree$.

Given triangle QRS with sides $q$ = $5$ units, $r$ = $6$ units, and the included angle $\angle \mathrm{QRS}$ = $60°$, what is the area of triangle QRS?

Which triangle's area can be calculated using the trigonometric area formula $A=\frac{1}{2}absinC$?

A triangle ABC has sides $a$ and $b$ with included angle $C$. If a sector of a circle with radius $r$ and central angle $C$ is drawn such that the triangle is inscribed within the sector and the region outside the triangle but inside the sector is shaded, what is the area of the sector that is not shaded?