Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - The Pythagorean Theorem and the Distance Formula - Exercises: 4

Answer

$$c\approx 10.4$$

Work Step by Step

Use the Pythagorean Theorem: $$c^{2}=a^{2}+b^{2}.$$ Substitute in $a=10$ and $b=3:$ $$c^{2}=10^{2}+3^{2}=100+9=109.$$ Take the square root of both sides: $$\sqrt {c^{2}}=\sqrt {109}$$ $$c\approx 10.4.$$
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