Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2 - Page 630: 59

Answer

Doesn’t make any sense.

Work Step by Step

The sum of the square of lengths of perpendicular and base is equal to the square of the length of the hypotenuse. If the lengths of perpendicular and base is a and b, the length of the hypotenuse is\[c\], then the theorem is written as below. \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}\] Even if the two sides of a triangle are given, Pythagorean Theorem can only be used if the triangle is a right triangle, which means one angle should have a measurement of\[{{90}^{\circ }}\]. Therefore, the statement doesn’t make any sense.
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