# Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz: 1

32.0

#### Work Step by Step

Use the Pythagorean Theorem to find the missing length. $a^2+b^2=c^2\longrightarrow$ substitute the given values $20^2+25^2=c^2\longrightarrow$ simplify exponents $400+625=c^2\longrightarrow$ add $1025=c^2\longrightarrow$ find the square root of each side $\sqrt{1025}=\sqrt{c^2}\longrightarrow$ simplify $32.0=c$

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