Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - Mid-Chapter Quiz - Page 642: 8

Answer

173 $m^2$

Work Step by Step

Since an equilateral triangle has all equal side lengths and a triangle has 3 sides, let's assume side length s and perimeter p. In this case, p = 3s, so 60 = 3s, and s = 20. The area of a triangle is 0.5bh, where b is the base, and h is the height. Any one of the three sides of an equilateral triangle can be considered the base, so b = 20, and h is 17.3 as given. So, A = 0.5bh = 0.5*20*17.3 = 173 $m^2$.
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