### 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.

Area of a square = s², where s = length of a side.

${s}=\sqrt{50}$

Use the Pythagorean Theorem to solve for $c$.