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Pythagorean Theorem: Find the hypotenuse

Last updated almost 8 years ago

6 questions

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Word problems where students have to use the pythagorean theorem to find the hypotenuse.

Question 1

1.

What is the legth of the ladder leaning against the house? (see picture above)

Question 2

2.

A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be? (see picture above)

Question 3

3.

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? (see picture above)

Question 4

4.

You are locked out of your house and the only open window is on the secoind floor, 20 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 15 feet from the house. What length of ladder do you need to reach the house?

Question 5

5.

In a baseball diamond, the length between each of the 3 bases and home plate is 90 feet and all form right angles. using the Pythagorean Theorem, figure out how far the second baseman has to throw in order to get the runner out before he slides into home.

Question 6

6.

Maria walked 3 miles West and 4 miles South. How far is she from her starting point? (Show all work)