Heron’s (or Hero’s) formula is sometimes used to calculate the area of a triangle.
Heron’s Formula
The area of a triangle with sides of lengths a, b, and c is given by
- Use Heron’s formula to find the area of a triangle with sides that measure 4.4 in., 5.7 in., and 6.2 in. Round to the nearest tenth of a square inch.
- Use Heron’s formula to find the area of an equilateral triangle with sides that measure 8.3 cm. Round to the nearest tenth of a square centimeter.
- Find the lengths of the sides of a triangle that has a perimeter of 12 in., given that the length of each side, in inches, is a counting number and the area of the triangle, in square inches, is also a counting number. Hint: All three sides are different lengths.
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