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Pythagorean Theorem & the Converse (G.8)
WU: SOL questions- graded for accuracy! Bucket A: TEI Questions *hw/hw log/storybook “ Right Triangles” Attach RUBRIC to tissue box, put in your block box HW (day 38): p. 495 (5-25odd, 31, 32, 36, 37, 41 Answers: #32: acute, #36: 10) Midterm Exams: 1/26-1/29 pearsonsuccess.net (due Friday)
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Copy into your SOL binder (day 39)
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c a b 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
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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
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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= ) 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)
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OLD MAID Game
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