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The video answers and provides step by step directions for word problem 1 and word problem 2.
​The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the square of the other two legs in a right triangle. Whenever you have a right triangle and know the length of two sides the Pythagorean Theorem can be used to find the third side of the triangle.As a result, one can find the missing side lengths of right triangles. When you combine algebra, geometry, and this theorem you can calculate heights, distances, length, and many other measurements. For example, one can calculate the height of a ladder using the Pythagorean Theorem. These word problems based on the Pythagorean Theorem are suitable for 7th,8th, 9th grade, and are basic in nature. Each word problems has a short video that provides the answer, and directions for solving each example problem. Each of these problems can be solved using these four steps.

1. Read the word problem and draw a picture.

2. Plug the given information into the Pythagorean Theorem

3. Solve for the variable.

4. Take the square root of step 3.

Pythagorean Theorem word problems

picture ladder against wall
Ladder
Wall
Pythagorean word problem
leg
leg
hypotenuse
A 12 foot ladder is placed four feet from the base of a wall. How far up the wall will the ladder reach? 

Step 1. Draw and label the problem. 


Example Pythagorean Theorem word problem

Problem 1. Two kids are flying a kite with a string 50 meters long. If the kids are 35 meters apart, how high is the kite off the ground.

Watch the videos for the solution to the following word problems dealing with the Pythagorean Theorem.

how high is the kite? Use the Pythagorean Theorem to solve this problem
Problem 2. A carpenter needs to add 2 braces to a barn door. If the door measures 12 x16 feet, how much wood would be needed for both braces?
pythagorean word problem/how much wood is needed for the barn door?
Problem 3. A ship leaves port and travels 100 km doe east then turns due south travels 75km. How far from the port is the ship?
A ship leaves port and travels 100 km doe east then turns due south travels 75km. How far from the port is the ship?
Problem 4. Find the perimeter of a right triangle with a short side of 2 units and a long leg of 3 units.
right triangle with legs and hypotenuse labeled/word problem
Problem 5. Find the height of a parallelogram with sides of 17 units by 15 units.
trapezoid height
Problem 6. A wire is stretched from the top of a 12 foot pole to a stake 5 feet from the base of the pole. How long is the wire?
word problem Find the length of the wire
The video answers and provides step by step directions for word problem 1 and word problem 2.
The video answers and provides step by step directions for word problem 3 and word problem 4.
The video answers and provides step by step directions for word problem 5 and word problem 6.

The formula for the Pythagorean Theorem equals A^2 + B^2 = C^2

Use this handy Pythagorean Theorem Calculator in order to check your work

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pythagorean theorem infographic
link to pythagorean theorem calculator
Common Core Standard: 8.G.7   8th Grade Math