Pythagorean Theorem & the Converse

1. Pythagorean Theorem & the Converse WU: SOL questions- graded for accuracy! *hw/hw log/storybook “ Right Triangles” HW (day39): p. 495 (5-25odd, 31, 32, 36, 37, 41) Quiz next block (pythagoreanthm) Midterm Exams: 1/22-1/24 pearsonsuccess.net (due Friday)

2. Copy into your SOL binder (day 39)

3. 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. c2 a2 + b2 a2 + b2 >c2 a2 + b2 <c2 c Hypotenuse a Leg b Leg

6. 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 c2 = a2 + b2 ∆ABC is a right triangle. If c2 > a2 + b2 ∆ABC is a obtuse triangle. If c2 < a2 + b2 ∆ABC is a acute triangle B c a A b C

8. 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?

9. Is it a triangle? If so determine if the triangle is Right, Acute, or Obtuse Right: c2 = a2 + b2 Acute: c2 < a2 + b2 Obtuse: c2 > a2 + b2 Let’s Practice: 1) a=14, b=5, c= 20 2) a= 2, b=5, c=2 • a=12, b=16, c=20 4) a=11, b=12, c=14 5) S(3, 3), T(5, 5) U(6, 0) 6) S(2, -1), T(5, 4), U(6, -3)

10. OLD MAID Game