1. Pythagorean Theorem Rochelle Williams TEC 539 Grand Canyon University July 7, 2010

2. Pythagorean Theorem  Determine if you have a right angle. Using a protractor determine if the angle is a 90o angle.  A 90° angle is called a right angle. A right triangle is a triangle with a 90° angle.

3. Pythagorean Theorem  In a right triangle, the side opposite the 90° angle is called the hypotenuse and the remaining two sides are called the legs.

4. Pythagorean Theorem The formula means the sum of the squares of the two legs (a 2 + b 2 ) will equal the square of the hypotenuse (c 2 ). The formula means the sum of the squares of the two legs (a 2 + b 2 ) will equal the square of the hypotenuse (c 2 ). Note: Hypotenuse is the side of the triangle across from the right angle. The angle must be a right triangle. The length of the two sides must be known. Note: Hypotenuse is the side of the triangle across from the right angle. The angle must be a right triangle. The length of the two sides must be known.

5. Pythagorean Theorem Step 1: Step 1: Name the legs a and b and the hypotenuse c. You are given the a = 5 and b = 7. Add these values to the formula and solve for the unknown c. Step 2: Step 2: 5 2 + 7 2 = c 2 25 + 49 = c 2 74 = c 2 74 = c 2 Hypotenuse = c 5 7

6. Pythagorean Theorem Step 3: Step 3: Now take the square root of both sides of the equation to solve for c. The square root of 74 is 8.6 Answer Answer c = 8.6

7. References Bright Hub. (2010). Retrieved from http://www.brighthub.com/education/homew ork-tips/articles/40338.aspx http://www.brighthub.com/education/homew ork-tips/articles/40338.aspx Wisconsin Technical College. (2010). Retrieved from http://www.wisc- online.com/objects/ViewObject.aspx?ID=AB M1501 http://www.wisc- online.com/objects/ViewObject.aspx?ID=AB M1501http://www.wisc- online.com/objects/ViewObject.aspx?ID=AB M1501