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The area of a triangle is equal to 48 cm^2 and two if its sides measure 12 cm and 9 cm, respectively. Find the possible measures of the included angles of the given sides.

Ell
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    Welcome to the Math Stack Exchange. What have you tried? Do you know any formulas that could help you with this problem? – Paul Sundheim Oct 14 '14 at 14:59
  • I haven't known any formulas but I'm trying it with area, Pythagorean theorem, and sine law. – Ell Oct 14 '14 at 15:29

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Hint: Use the formula $Area=\frac{1}{2}ab sinC$ where $a$ and $b$ are measures of two sides of a triangle and $C$ is the included angle. Just substitute $148cm^{2}$ for the area and $12cm$ and $9cm$ for $a$ and $b$.

Chen
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