1. 9.3 The Pythagorean Theorem

2. My design for a new patio is a right triangle, with side lengths of 3, 4, and 5 yards.

3. Take each side length, and make into 3 squares.

5. The Pythagorean Theorem a 2 + b 2 = c 2 a c b

6. If you know two sides of a right triangle, you can find the third side. a 2 + b 2 = c 2 3 2 + 4 2 = c 2 9 + 16 = c 2 25 = c 2 How do we find c? a = 3 c b = 4

7. a 2 + b 2 = c 2 3 2 + 4 2 = c 2 9 + 16 = c 2 25 = c 2 How do we find c? If C 2 is C times C, then find the square root. 25 = 5

8. a 2 + b 2 = c 2 a = 7 C = 12 b = ?

9. a 2 + b 2 = c 2 7 2 + b 2 = 13 2 49 + b 2 = 169 b 2 = 169 – 49 b 2 = 120 How do we find b? If b 2 is b times b, then we find the square root. 120 = 10.95

13. The Scarecrow "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side. Oh, joy, rapture! I've got a brain! "

14. The Scarecrow needs to ask the Wizard for a NEW Brain! WHY???? "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side. Oh, joy, rapture! I've got a brain! "

15. Maybe this guy will get it right???

16. Homework 9.3 Pythagorean Theorem Worksheet