Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - 10.6 Right Triangle Trigonometry - Exercise Set 10.6 - Page 668: 58

Answer

The given statement: “For a right-angled triangle, Hypotenuse is the side adjacent to the acute angle” doesn’t make sense.

Work Step by Step

As per the definition of Hypotenuse, a hypotenuse is the side of a right triangle,which is opposite to the right angle. An acute angle always measures between \[0{}^\circ \]and\[90{}^\circ \], it can never be greater than\[{{90}^{\circ }}\]. Though side adjacent to acute angle is base and also side opposite to acute angle is either base or perpendicular. But, the hypotenuse is always opposite to the right angle in a right-angled triangle. The given statement doesn’t make sense.
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