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 399: 13

Answer

$$59.9 \ in .$$

Work Step by Step

Since we have a right triangle with legs a, b and the hypotenuse c, then by the Pythagorean theorem, we have $$c^2=a^2+b^2.$$ Since $a= 39.5 in$ and $b=45 in$, then $a$ is given by $$brace= c=\sqrt{a^2+b^2}=\sqrt{39.5^2+45^2}=59.9 \ in .$$
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