## Intermediate Algebra (6th Edition)

$\text{approximately } 3.5 \text{ } in.$
Using $a^2+b^2=c^2$ (or the Pythagorean Theorem) where the legs are given the measures $2.7$ inches and $2.3$ inches, the measure of the hypotenuse, $c$, is equal to \begin{array}{l}\require{cancel} (2.7)^2+(2.3)^2=c^2 \\\\ 7.29+5.29=c^2 \\\\ 12.58=c^2 \\\\ c=\sqrt{12.58} \\\\ c\approx3.5 .\end{array} Hence, the unknown side is $\text{approximately } 3.5 \text{ } in.$