1. Objective: To use the Pythagorean Theorem to solve real world problems. Class Notes Sec 9.2 & 9.3 1. a b c a short leg b long leg c hypotenuse 2. Pythagorean Theorem: c 2 = a 2 + b 2 Find x. 3. x √5√5 √8√8 a. b. x 16 12 c. x 5√25√2

2. 4. Pythagorean Triple: a set of three positive integers that work in the Pythagorean theorem. Determine which sets of numbers are Pythagorean Triples. 5. a. 4, 5, 3 b. 17, 15, 8 c. √5, √8, √13

3. Determine if the three numbers are a Triangle. If they are, determine if the Triangle is acute, obtuse, or right. 7. a. 4, 5, 1 b. 3, 5, 7 e. 6,6, √15, 5√2 c. 20, 7, 11 d. 5, 7, √74 6. Theorem: If c 2 = a 2 + b 2 then right triangle c 2 < a 2 + b 2 then acute triangle c 2 > a 2 + b 2 then obtuse triangle