Question

Find the area of the triangle having the indicated angle and sidesC=81°33'a=16b=22round answer to one decimal place

Answer 1

As given by the question

There are given that the angle and two sides

Now,

From the formula of area of the triangle, when angle and two sides are given

`A=(1)/(2)ab\sin C`

Then,

Put the value a,b, and angle C into the given formula

So,

`\begin{gathered} A=(1)/(2)ab\sin C \\ A=(1)/(2)*16*22*\sin 81^(\circ)33^(\prime) \\ A=8*22*\sin 81^(\circ)33^(\prime) \\ A=174.1 \end{gathered}`

Hence, the value of the area is 174.1.