Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - 10.4 Area and Circumference - Exercise Set 10.4: 12

Answer

24 m^2

Work Step by Step

The formula used for a triangle is A=1/2bh However, your height is missing. To find the base, use the Pythagorean Theorem: a^2+b^2=c^2 Your c will always be the side of the triangle OPPOSITE from the right angle. c= 10 m. 8^2+b^2=10^2 64 m +b^2=100 m Subtract 64 from both sides. b^2= 36 m Square root both sides. The square root of 36 m= 6 m. Your height= 6 m. Now, use the formula to find the area of the triangle. A= 1/2bh A= 1/2(8 m)(6 m) A= 24 m^2
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