Pythagorean Theorem Word Problems

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?

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

During a football play, Justin Jefferson runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Sam Darnold. On the opposing team, a defender who started 20 yards across the field from Jefferson saw the play setup and ran a slant towards Jefferson . What was the distance the defender had to run to get to the spot where Jefferson caught the ball?

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?

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

The diagonal of a rectangle is 25 inches. The width is 15 inches. What is the area of the rectangle?

Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

• Yes

• No

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.