Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 176: 74


(a)Acute Triangle (b)Right Triangle (c)Obtuse Triangle

Work Step by Step

(a) substitute: a=4, b=5, c=6, $4^{2}$+$5^{2}$?$6^{2}$ 16+25?36 41$\gt$36 $a^{2}$+$b^{2}$$\gt$$c^{2}$ is an acute triangle (b)Substitute: a=3, b=4, c=5 $3^{2}$+$4^{2}$? $5^{2}$ 9+16?25 25=25 $a^{2}$+$b^{2}$=$c^{2}$ is a right triangle (c)Substitute a=10, b=15, c=20 $10^{2}$+$15^{2}$? $20^{2}$ 100+225? 400 325$\lt$400 $a^{2}$+$b^{2}$$\lt$ $c^{2}$ is Obtuse
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