Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises: 33b

Answer

You cannot draw an equilateral right triangle.

Work Step by Step

An equilateral triangle has all three angles at 60$^{\circ}$. This is because every triangle's angles add up to 180$^{\circ}$, and equilateral means that all three sides and angles are the same. Therefore, 180$^{\circ}$ $\div$ 3 = 60$^{\circ}$. A right triangle has one angle at 90$^{\circ}$. 90 $\ne$ 60, so this "equilateral right triangle" does not exist and you cannot draw it.
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