Pythagorean Theorem Problem Solving

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Does the set of numbers represent a right triangle?

• Yes

• No

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

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

• 24.5 ft

• 25.5 ft

• 26.5 ft

• 23.5 ft

What is the longest side of a right triangle called?

• Leg A

• Leg B

• Hypotenuse

• Pythagoras' Big Buddy

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 105 meters

• 79.4 meters

• 210 meters

• 150 meters

Solve the following right triangle, for x.

• 5 mi

• 2.646 mi

• 4.5 mi

• 48.6 degrees

When solving for x, would you use (1) Pythagorean Theorem, (2) Trig, or (3) Inverse Trig?

• Pythagorean Theorem

• Trig

• Inverse Trig

When solving for x, would you use (1) Pythagorean Theorem, (2) Trig, or (3) Inverse Trig?

• Pythagorean Theorem

• Trig

• Inverse Trig