Pythagorean Theorem Real World Problems

A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?

• 5 feet

• 7.2 feet

• 8 feet

• 4.5 feet

A fireman leans a ladder that is 13 feet long against a tree. The base of the ladder is 5 feet from the base of the tree. How far up the tree will the ladder reach? 

• 13.9 feet
• 12 feet
• 4.2 feet
• 18 feet

Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?

• 46.9 inches
• 8.1 inches
• 19.9 inches
• 32.9 inches

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in
• 12.4 in
• 13.6 in 
• 14.3 in

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east. To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.

• 53

• 22

• 75

• 9

What is the diagonal length from a bottom corner of the rectangular prism to the opposite top corner? (Round your answer to the nearest tenth.)

• 22.6 cm ²

• 20.6cm ²

• 27.4 cm ²

Will a 17 foot bat fully fit within the given box?

• NO, the diagonal of the box is only about 16.5 feet long.

• YES, the diagonal of the box is 17.3 feet long.

• NO, the diagonal of the box is 12.5 ft.

Find the altitude of the square prism.

• 8.3 ft

• 12 ft

• 16.4 ft

• 23 ft

Find the length of the base of the rectangular prism. (Round your answer to the nearest tenth.)

• 6.6 m³

• 13.3 m³

• 15.6 m³

• 31.2 m³

Challenge!  Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 

• 5
• 7
• 10
• 12