Pythagorean Theorem Real World Problems

Which equation can be used to solve the word problem: A TV is 40 inches (diagonally) and the height is 30 inches.  How wide is the TV?

• 30²  + 40² = c²

• a²  + 40² = 30²

• 30²  + b² = 40²

• 40²  + 30² = c²

Find the length of the longest rod that could fit into a rectangular prism that has the following dimensions.

• 7.45

• 37.01

• 6.8

• 61.5

Over the summer, Sheri was helping her dad build a rectangular deck. One of the sides measured 7 feet and the diagonal of the deck measured 25 feet. What is the length of the missing side of the deck?

• 24 feet

• 17 feet

• 25 feet

• 18 feet

Sally and John wanted to build a ladder for their tree house. The tree was 40 feet high and they wanted the ladder to start 30 feet away from the base of the tree, to avoid a flower patch. What does the length of the ladder have to be to reach the tree house?

• 50 feet

• 60 feet

• 70 feet

• 80 feet

Sarah has a rectangular garden with sides that measure 12 feet by 20 feet that she wants to split diagonally from corner to corner with a new fence. How long does the fence need to be?

• 16 feet

• 23.3 feet

• 25.4 feet

• 32 feet

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

• 150 meters

• 210 meters

• 180 meters

• 135 meters

There is a cat stuck in a tree that is 9 feet high and a fire truck is parked 12 feet away from the base of the tree. The firemen need to find out how long to make the ladder in order to reach the top of the tree; how long does the ladder need to be?

• 15 feet

• 21 feet

• 18 feet

• 9 feet

What is the width of a rectangle that is 48 cm tall with a diagonal that is 52 cm?

• 20 cm

• 28 cm

• 36 cm

• 44 cm

The sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

• Theory of Relativity

• Newton's 3rd Law of Motion

• Pythagorean Theorem

• Murphy's Law