1. Section 8-1

3. Find the geometric mean between each pair of numbers. 4 and 9

4. Find the geometric mean between each pair of numbers. 6 and 15

5. Find the geometric mean between each pair of numbers. 10 and 22

7. Pythagorean Theorem In a right triangle the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse. a 2 + b 2 = c 2 a c b Leg Hypotenuse

8. Lesson 7-2: The Pythagorean Theorem8 Example 1 A B C In the following figure if A = 8 and B = 6, Find C.

9. Lesson 7-2: The Pythagorean Theorem9 Pythagorean Theorem : Examples 2 and 3 2. A=8, B= 15, Find C 3. A=7, B= 24, Find C A B C C = 17 C = 25

10. Solve for x x3 5 4. 5. x 4 6

12. Word problems ex. 6 The foot of a ladder is 6 feet from a wall. If the top of the ladder rests 8 feet up a wall, how long is the ladder?

13. Example 7 Randy made a ramp for his dog to get into his truck. The ramp is 6 ft long and the bed of the truck is 3ft above the ground. Approximately how far from the back of the truck does the ramp touch the ground?

14. Example 8 Donna’s TV screen is 20 inches long. If the diagonal measures 25 inches, what is the width of the tv screen?

15. Example 9 Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C directly. Find the length of this road. Angle B is the right angle.

16. Converse of the Pythagorean theorem If the sum of the square of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle. If a 2 + b 2 = c 2, then ∆ABC is a right triangle. a C B A b c

17. Tell whether it is a right triangle: 10. 9 15 11. 14 22 26