518 WordsJul 16, 20133 Pages

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 | |
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 |
The hypotenuse is red in the diagram below:
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 | |
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 |
The hypotenuse is red in the diagram below:
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 | |
Step 1 |
Remember our steps for how to use this theorem. This problems is like example 1 because we are solving for the hypotenuse . Step 1) Identify the legs and the hypotenuse of the right triangle. | The legs have length '14' and 48 are the legs. The hypotenuse is X. See Picture |
The hypotenuse is red in the diagram below:
Steps 2 and 3 |
Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) | A2 + B2 = C2
142 + 482 = x2 | Step 3) Solve for the unknown | |
Problem 2) Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest tenth. | |
Step 1 |
Remember our steps for how to use this theorem. This problems is like example 2 because we are solving for one of the legs. Step 1) Identify the legs and the hypotenuse of the right triangle. | The legs have length '9'

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