### 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.

Draw a diagram. A square with an area of 50.

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

${s}=\sqrt{50}$

Use the Pythagorean Theorem to solve for $c$. Draw a diagonal and label it c.