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# Solving a right_triangle_given_two_sides

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### Solving a right_triangle_given_two_sides

1. 1. Pythagorean Theorem
2. 2. The FormulaThe picture below shows the formula for the Pythagorean theorem. Inthe pictures below, side C is always the hypotenuse. Remember thatthis formula only applies to right triangles.
3. 3. Examples of the Pythagorean TheoremWhen you use the Pythagorean theorem, just remember that thehypotenuse is always C in the formula above . Look at the followingexamples to see pictures of the formula.
4. 4.  Step 1) Identify the legs and theExample 1 (solving hypotenuse of the right triangle.for the hypotenuse) The legs have length 6 and 8 . X is the hypotenuse because it is oppositeUse 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. 5. Example 2 (solving for  Step 1) Identify the legs and thea Leg) hypotenuse of the right triangle The legs have length 24 and XUse 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. 6. Finding the Angles of a Right Triangle
7. 7. Finding the Angles of a Right Triangle
8. 8. Finding the Angles of a Right Triangle
9. 9. Finding the Angles of a Right Triangle
10. 10. Finding the Angles of a Right Triangle
11. 11. Finding the Angles of a Right Triangle