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

7-34.

How long is the longest line segment that will fit inside a square of area

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

Area of a square = *s*², where *s* = length of a side.

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