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

User Gourneau
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1 Answer

15 votes
15 votes

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.

User Rubmz
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