Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.3 - Triangles - Exercise - Page 400: 31

Answer

$15.6~cm^2, \ 18.0\ cm$

Work Step by Step

For an equilateral triangle of side $6 \ cm$, we have $s=\frac{3\times6}{2}=9\ cm.$ Then the area is given by Heron’s formula as follows: $$ Area= \sqrt{s(s-a)^3}=\sqrt{9(9-6)^3}=15.58\ cm^2\approx 15.6~cm^2 .$$ The perimeter of a triangle is the sum of the lengths of the sides: $$perimeter= 3\times6=18.0\ cm .$$
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