2. Sec: 8.1 Sol: G.8

3. Theorem 7.4: 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

4. Lesson 7-2: The Pythagorean Theorem4 Example A B C In the following figure if A = 8 and B = 6, Find C.

5. Lesson 7-2: The Pythagorean Theorem5 Pythagorean Theorem : Examples 1.A=8, B= 15, Find C 2.A=7, B= 24, Find C A B C C = 17 C = 25

6. Solve for x x3 5 1. 2. x 4 6

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?

8. Theorem 7.5 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

9. Tell whether it is a triangle: 1. 9 15 2. 14 22 26

10. Determine if the triangle is Right, Acute, or Obtuse Right: a 2 + b 2 = c 2 Acute: a 2 + b 2 > c 2 Obtuse: a 2 + b 2 < c 2 Try these: 1) a=10, b=15, c=20 2) a=2, b=5, c=6 3) a=12, b=16, c=20 4) a=11, b=12, c=14 5) a=2, b=3, c=4 6) a=1, b=7, c=7 7) a=90, b=120, c=150

11. Suggested Assignments Classwork: Workbook Pg 203 1-15,24-27,29,30 Handout Homework: pg 495-497 2-12e, 16-22e (solve no Radical) 28-32e