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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.
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.
    Step 1) Identify the legs and the
Example 1 (solving                    hypotenuse of the right triangle.
for the hypotenuse)                  The legs have length '6 and '8' . 'X' is
                                     the hypotenuse because it is opposite
Use the Pythagorean theorem to       the right angle.
determine the length of X
                                     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
                                    Step 1) Identify the legs and the
a Leg)                               hypotenuse of the right triangle
                                   The legs have length '24' and 'X'
Use the Pythagorean theorem to   are the legs. The hypotenuse is 26.
determine the length of X
                                   Step 2) Substitute values into
                                     the formula (remember 'c' is the
                                     hypotenuse)
                                        A2 + B2 = C2
                                        x2 + 242 = 262
                                   Step 3) Solve for the unknown
Finding the Angles of a Right Triangle
Finding the Angles of a Right Triangle
Finding the Angles of a Right Triangle
Finding the Angles of a Right Triangle
Finding the Angles of a Right Triangle
Finding the Angles of a Right Triangle

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Solving a right_triangle_given_two_sides

  • 2. 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.
  • 3. 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.
  • 4. Step 1) Identify the legs and the Example 1 (solving hypotenuse of the right triangle. for the hypotenuse) The legs have length '6 and '8' . 'X' is the hypotenuse because it is opposite Use the Pythagorean theorem to the right angle. determine the length of X  Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) A2 + B2 = C2 62 + 82 = X2  Step 3) Solve for the unknown
  • 5. Example 2 (solving for  Step 1) Identify the legs and the a Leg) hypotenuse of the right triangle The legs have length '24' and 'X' Use the Pythagorean theorem to are the legs. The hypotenuse is 26. determine the length of X  Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) A2 + B2 = C2 x2 + 242 = 262  Step 3) Solve for the unknown
  • 6. Finding the Angles of a Right Triangle
  • 7. Finding the Angles of a Right Triangle
  • 8. Finding the Angles of a Right Triangle
  • 9. Finding the Angles of a Right Triangle
  • 10. Finding the Angles of a Right Triangle
  • 11. Finding the Angles of a Right Triangle