Elementary Technical Mathematics

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

Chapter 12 - Cumulative Review - Page 447: 27

Answer

$$6.59 \ m, \ 1.86\ m^2. $$

Work Step by Step

Recall the Pythagorean theorem $$c^2=a^2+b^2$$ First, we use the Pythagorean theorem to find the hypotenuse; that is $$c= \sqrt{2.04^2+1.82^2}=2.73 \ m.$$ The perimeter of a triangle is the sum of its sides; that is, $$Perimeter=2.04+1.82+2.73=6.59 \ m. $$ The area of a triangle is half of the base times the corresponding height; that is, $$Area=\frac{1}{2} \times 2.04 \times1.82=1.86\ m^2. $$
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