1. www.mathisfun.com Click on Geometry Click on Plane Geometry Scroll down to Pythagoras’ Theorem and Pythagorean Triples You will need both of these

2. Guided Note Taking For whom is the Pythagorean Theorem named? Write the amazing fact that was found about right triangles Write the formula What kind of triangles must you have to use the Pythagorean theorem? Show an example of a Pythagorean triple Show an example of a Pythagorean triple that has been scaled Show an example of solving for a missing hypotenuse Show an example of solving for a missing leg After you “take notes,” answer Questions 1 thru 5 on Pythagorean triples. Then answer Questions 1 thru 3 and 8 thru 10 on Pythagorean theorem.

3. The Pythagorean Theorem was named for a man named Pythagoras (570 B.C. – 495 B.C.). He was part of a group called the Pythagoreans who discovered the Pythagorean Theorem.

4. Amazing Fact about the areas a 2 + b 2 = c 2

5. a 2 + b 2 = c 2 is the formula for the Pythagorean Theorem The longest side of the triangle is called the "hypotenuse." hypotenuse leg

6. Fact You must have a right triangle to use the Pythagorean Theorem.

7. Example of Pythagorean Triple 3, 4, 5 is an example of a Pythagorean Triple a 2 + b 2 = c 2 3 2 + 4 2 = 5 2 9 + 16 = 25 25 = 25

8. Example of a scaled Pythagorean triple scale 3,4,5 by 2 gives 6,8,10 For this example, you multiply each number by 2. a 2 + b 2 = c 2 6 2 + 8 2 = 10 2 36 + 64 = 100 100 = 100

9. Solve for missing hypotenuse a 2 + b 2 = c 2 5 2 + 12 2 = c 2 25 + 144 = c 2 169 = c 2 c 2 = 169 c = c = 13

10. Solve for missing leg a 2 + b 2 = c 2 9 2 + b 2 = 15 2 81 + b 2 = 225 -81 -81 (Subtract 81 from both sides ) b 2 = 144 b = b = 12