If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula, is sometimes used: A = s(s − a)(s − b)(s − c) where a, b, and c are the given lengths of the sides, and s = 0.5(a + b + c). Use this formula to find the area (correct to the nearest square foot). a = 7 ft, b = 8 ft, c = 14 ft ft2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula, is sometimes used:

A = 
  s(s − a)(s − b)(s − c)

where ab, and c are the given lengths of the sides, and s = 0.5(a + b + c). Use this formula to find the area (correct to the nearest square foot).

a = 7 ft, b = 8 ft, c = 14 ft

 ft2

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