1. Pythagorean Theorem a b c a 2 + b 2 = c 2

2. Examples 12 5 c a 2 + b 2 = c 2 12 2 + 5 2 = c 2 144 + 25 = c 2 169 = c 2 c = 13

3. Examples cont. a 9 m 17 m a 2 + b 2 = c 2 a 2 + 9 2 = 17 2 a 2 + 81 = 289 -81 -81 a 2 = 208 a = 14.4 a = 14.4 m

4. Independent Practice b 6 in. 11 in. a 2 + b 2 = c 2 6 2 + b 2 = 11 2 36 + b 2 = 121 -36 b 2 = 85 b = 9.2 b = 9.2 in.

5. Independent Practice cont. 3 ft. 2 ft. c a 2 + b 2 = c 2 3 2 + 2 2 = c 2 9 + 4 = c 2 13 = c 2 c = 3.6 c = 3.6 ft.

6. Word Problem/Real Life Example A cat is stuck at the top of a 38 ft. tree. A firefighter has a 50 ft. ladder. How far away from the base of the tree should the firefighter place the ladder?

7. 50 ft. b 38 ft. 38 2 + b 2 = 50 2 1444 + b 2 = 2500 -1444 b 2 = 1056 b = 32.5 The ladder should be 32.5 ft. away from the base of the tree.