1 Answer

Weina · Answer 1 · 2023-12-18T20:35:21+0000

We are asked to determine the area of a triangle given two sides and the angle in-between. To do that we will use the following formula:

$A=(1)/(2)ab\sin \theta$

Where "a" and "b" are the sides of the triangle and "theta" is the angle in-between. Replacing the values we get:

$A=(1)/(2)(6\operatorname{cm})(15\operatorname{cm})\sin 142$

Solving the operations:

$\begin{gathered} A=45\sin 142\operatorname{cm} \\ A=27.70cm^2 \end{gathered}$

Therefore, the area is 27.70 square centimeters.

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