Elementary Geometry for College Students (5th Edition)

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

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 359: 11

Answer

18 $m^{2}$

Work Step by Step

Given A 45-45-90 triangle has a leg measuring 6 m. To find area of triangle. In 45-45-90 triangle two angles are equal so opposites sides of the two angles must be equal. So the measurement of the two legs is 6 m Area of triangle = $\frac{1}{2}$b* h = $\frac{1}{2}$* 6 * 6 = 3 * 6 = 18 $m^{2}$ Area of 45-45-90 triangle = 18 $m^{2}$.
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