Area of a Triangle Using Heron's Formula (Trigonometry)

Find the area of a triangle with side lengths 7.5 miles, 11 miles, and 13 miles. Use Heron's formula and provide your answer to the nearest tenth of a square mile.

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Heron's formula is area=sqrt(s(s-a)(s-b)(s-c)), where s=(1/2)(a+b+c), where a, b and c are the sides of the triangle. So s=31.5/2=15.75 miles. Area=sqrt(15.75(15.75-7.5)(15.75-11)(15.75-13))=41.2sq miles.

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