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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Chapter 7 Solutions
Mathematical Excursions (MindTap Course List)
- Find the area of an equilateral triangle with apothem a = 3.2 cm and perimeter P=19.23 cm.arrow_forwardA copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.arrow_forwardUse the Pythagorean Theorem to find the length of the leg in the triangle shown below.arrow_forward
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