1. 8.2 Pythagorean Theorem and Its Converse Then: You used the Pythagorean Theorem to develop the Distance Formula. Now: 1. Use the Pythagorean Theorem. 2. Use the Converse of the Pythagorean Theorem. http://www.mathopenref.com/images/bioimages/pythagoras1.jpg

2. Pythagorean Theorem Relates the lengths of the hypotenuse to the length of the legs. http://www.ck12.org/flx/show/image/user%3Ack12editor/2012092413485114206703 98_20c94632f12fed196d9e344e505ae729-201209241348512249452797.png http://24.media.tumblr.com/tumblr_lfthd85M6I1qbvzz7o1_500.jpg

3. Theorem 8.4 Pythagorean Theorem Cool Proof of Pythagorean Theorem

4. Example 1: Find the Missing Measure a. b. c.

5. Pythagorean Triple (See your vocabulary) http://www2.edc.org/makingmath/mathsettings/pythagorean/Images/pythagorean_gr_ 2.gif

6. Example 2: Pythagorean Triples Use a Pythagorean Triple to find x. Explain your reasoning.

7. Example 3a: Use the Pythagorean Theorem A 20-foot ladder is placed against a building to reach a window that is 16 feet above the ground. How many feet away from the building is the bottom of the ladder?

8. Example 3b: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

9. Converse of the Pythagorean Theorem To determine if a triangle is a right triangle, use its converse theorem.

10. Pythagorean Inequality Theorems To determine if a triangle is acute or obtuse, use inequality theorems.

11. Example 4: Classify Triangles Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle the triangle as acute, obtuse of right. a. 20,30, 40 1) Use the Triangle Inequality Theorem 2) Classify by comparing the square of the longest side to the sum of the squares of the other two sides

12. Example 4: Classify Triangles b. 18, 24, 30 c. 6, 12, 18 d. 6, 8, 9

13. 8.2 Assignment Pages 552-555 #10-18 evens, 19-25 all, 28, 34, 38, 40, 43, 44, 46, 53-56 all