Answered

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

Sagot :

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

[tex]A=\frac{1}{2}ab\sin C[/tex]

Then,

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

So,

[tex]\begin{gathered} A=\frac{1}{2}ab\sin C \\ A=\frac{1}{2}\times16\times22\times\sin 81^{\circ}33^{\prime} \\ A=8\times22\times\sin 81^{\circ}33^{\prime} \\ A=174.1 \end{gathered}[/tex]

Hence, the value of the area is 174.1.

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