Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 366: 4a


29.11 $cm^{2}$

Work Step by Step

Given the perimeter of equilateral triangle is 24.6 cm We need to find the area of triangle As we know perimeter of equilateral triangle is P = 3a 24.6 =3a a = $\frac{24.6}{3}$ = 8.2 cm The area of equilateral triangle = $\frac{\sqrt 3}{4}a^{2}$ =$\frac{\sqrt 3}{4}(8.2)^{2}$ =29.11 $cm^{2}$
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