Justify your conclusion.

Question

Mrs. Freeman is trying to determine if her new desk will fit through her classroom door. Her desk is 59 inches wide. She knows that the height of the door is 80 inches and the diagonal measure of the door is 100 inches. Determine the width of her door and whether or not her new desk will fit. 

Answer 1

Use Pythagorean theorem to answer this question a² + b² = c²

The given height is a

The diagonal length is c

our unknown width is b

80² + b² = 100²

6,400 + b² = 10,000

b² = 3,600

b = 60 in wide...so yes the desk will fit!