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Pythagorean Theorem

How to Use The Pythagorean Theorem

The Formula
The picture below shows the formula for the Pythagorean theorem. In the pictures below, side C is always the hypotenuse. Remember that this formula only applies to right triangles.
The Pythagorean Theorem
Examples of the Pythagorean Theorem
When you use the Pythagorean theorem, just remember that the hypotenuse is always 'C' in the formula above . Look at the following examples to see pictures of the formula.
Examples of the Pythagorean Theorem
Video Tutorial on How to Use the Pythagorean Theorem
Step By Step Examples of Using the Pythagorean Theorem
Example 1 (solving for the hypotenuse)
Use the Pythagorean theorem to determine the length of X Example 1
Step 1) Identify the legs and the hypotenuse of the right triangle. The legs have length '6 and '8' . 'X' is the hypotenuse because it is opposite the right angle. See Picture
Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) A2 + B2 = C2
62 + 82 = X2
Step 3) Solve for the unknown
Example 2 (solving for a Leg)
Use the Pythagorean theorem to determine the length of X Example 2
Step 1) Identify the legs and the hypotenuse of the right triangle. The legs have length '24' and 'X' are the legs. The hypotenuse is 26. See Picture
Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) A2 + B2 = C2
x2 + 242 = 262
Step 3) Solve for the unknown
Problem 1)
Find the length of X Pythagorean Theorem Problem
Step 1
Problem 2)
Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest tenth. Pythagorean Theorem Problem
Step 1
Problem 3)
Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest hundredth.. Pythagorean Theorem Problem
Step 1