Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - Mid-Chapter Quiz - Page 642: 3

Answer

48 $m^{2}$

Work Step by Step

First, find the height of the triangle by using the Pythagorean Theorem $a^{2}$+$b^{2}$=$c^{2}$ $6^{2}$+$b^{2}$=$10^{2}$ 36+$b^{2}$=100 $b^{2}$=64 b=8 The formula for the area of a triangle is A=$\frac{1}{2}$bh A=$\frac{1}{2}$bh A=$\frac{1}{2}$(12)(8) A=48
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