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: 32

Answer

$14\bar{0}~m^2, \ 54.0\ m$

Work Step by Step

For the equilateral triangle of side $18 \ m$, we have $s=\frac{3\times18}{2}=27\ m.$ Then the area is given by Heron’s formula as follows: $$ Area= \sqrt{s(s-a)^3}=\sqrt{27(27-18)^3}=140.29\ m^2\approx 14\bar{0}~m^2 .$$ The perimeter of a triangle is the sum of the lengths of the sides, so we have: $$perimeter= 3\times18=54.0\ m .$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.