1. 7.1 – Apply the Pythagorean Theorem

2. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right triangle, then (hypotenuse) 2 = (leg) 2 + (leg) 2

3. 1. Find the value of x. c 2 = a 2 + b 2 x 2 = 15 2 + 36 2 x 2 = 225 + 1296 x 2 = 1521 x = 39 H

4. 1. Find the value of x. c 2 = a 2 + b 2 x 2 = 4 2 + 9 2 x 2 = 16 + 81 x 2 = 97 H

5. 1. Find the value of x. c 2 = a 2 + b 2 x 2 = 6 2 + 3 2 x 2 = 36 + 9 x 2 = 45 H

6. 1. Find the value of x. c 2 = a 2 + b 2 17 2 = x 2 + 8 2 289 = x 2 + 64 225 = x 2 H

7. 1. Find the value of x. c 2 = a 2 + b 2 27 2 = x 2 + 9 2 729 = x 2 + 81 648 = x 2 H

8. 1. Find the value of x. c 2 = a 2 + b 2 42 2 = x 2 + 36 2 1764 = x 2 + 1296 468 = x 2 H

9. 2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 10 2 = h 2 + 8 2 100 = h 2 + 64 36 = h 2 8 8 8 in 2 H H

10. 2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 12 2 = h 2 + 4 2 144 = h 2 + 16 128 = h 2 4 cm 2 H

11. 2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 44 2 = h 2 + 24 2 1936 = h 2 + 576 1360 = h 2 24 m 2 24 H

12. 7.1436-4393, 5, 13-17 odd, 24, 26, 31, 39, 40 HW Problem #26 Ans: c 2 = a 2 + b 2 5 2 = a 2 + 3 2 25 = a 2 + 9 16 = a 2 a HH 4 = a c 2 = a 2 + b 2 x 2 = 4 2 + 7 2 x 2 = 16 + 49 x 2 = 65