Algebra 1

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

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 619: 9



Work Step by Step

Use the Pythagorean Theorem to determine whether the given lengths can be the sides of a right triangle. The sides of a right triangle will always satisfy the expression $a^2+b^2=c^2$. The hypotenuse, represented by c, will always the be longest side. The legs, a and b, will be the two shorter lengths. $a^2+b^2=c^2\longrightarrow$ substitute the given lengths $8^2+15^2\overset?=17^2\longrightarrow$ simplify exponents $64+225\overset?=289\longrightarrow$ add $289=289\checkmark$
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