Question

1. Use the formula of the area of the triangle Area = ab sinc abc sinA = ac sinB to find thearea of the triangle below. Round the answer to the nearest hundredth. (5pts)с13.57 ft66.150А31.68 ftB

Answer 1

$\begin{gathered} Given, \\ m\angle B=66.15^{\circ} \\ AB=31.68ft \\ BC=13.57ft \\ \text{area of the triangle,} \\ \text{Area}=\frac{1}{2}\times AB\times BC\times\sin B \\ Area=\frac{1}{2}\times31.68\times13.57\times\sin 66.15 \\ \text{Area}=196.6ft^2(\text{Ans)} \end{gathered}$