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Home > GC > Chapter 7 > Lesson 7.1.3 > Problem 7-31

7-31.

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

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