### Home > CCG > Chapter 7 > Lesson 7.1.3 > Problem7-34

7-34.

How long is the longest line segment that will fit inside a square of area $50$ square units? Show all work.  Homework Help ✎

Draw a diagram.

$\text{Area of a square}=s^2$, where $s=\text{length of a side}$.

${s}=\sqrt{50}$

Use the Pythagorean Theorem to solve for $c$.

 top edge blank left edge blank square interior   $\text{A}=50$
 top edge $\sqrt{50}$ left edge$\sqrt{50}$ square interior   $\text{A}=50$