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.

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. Justify your conclusion.

Answer 1

100 is the hypotenuse, 80 and 60 are the other two sides, height and width

It's a 5-4-3 right triangle increased by a factor of 20

60 > 59, so the desk fits through the door