Pythagorean Theorem in the Real World

On a baseball diamond (which is just a square turned on its corner), the distance from home plate to first base is 90 feet. How far would someone have to throw a baseball to make it from second base to home plate?

• 99.49 feet

• 90 feet

• 127.28 feet

• 13.42 feet

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

What is the distance between point A and point B on the coordinate plane?

• 5

• 6

• 10

• 14

Calculate the distance between Points A and B.

• 7.1

• 7.8

• 4.5

• 9.2

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

”Real-world” word problems often have ladders leaning against trees, houses, or other structures. In these problems, the ladder is this part of a right triangle.

• Vertex

• Leg

• It depends on the situation.

• Hypotenuse.

The longest side of a right triangle.

• Leg 1

• Leg 2

• Perimeter

• Hypotenuse

Uses the distance between x and y coordinates to calculate leg lengths without graphing or sketching.

• Power Law

• Distance Formula

• Hypotenuse Algorithm

• Pythagorean Theorem

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