TSWBAT use the Pythagorean Theorem and its Converse

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Section 7.2

• TSWBAT use the Pythagorean Theorem and its
  Converse

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Pythagorean Theorem
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Example p362 (11 14)
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You Try p360 (12 15)
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You Try p360 1-3
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Definition
7, 24, 25
3, 4, 5

• Pythagorean Triple-
• Set of nonzero whole numbers
• a, b, and c that satisfy the equation a2
  b2 c2

5, 12, 13
8, 15, 17
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Definition

• Conditional IF-THEN statement
• EX If we are having fun in math, then we are in
  GEOMETRY!
• Converse Conditional that has been interchanged
• EX If we are in Geometry, then we are having
  fun in math!

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Apply to Pythagoreans THM

• If it is a right triangle then a2 b2 c2 where
  c is the hypotenuse (longest side).
• Converse?

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Converse of Pythagorean THM

• Theorem 7.6

• Theorem 7.7

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How do you use this information?

• IF c is the longest side then
• c2 a2 b2 (Right)
• c2 gt a2 b2 (Obtuse)
• c2 lt a2 b2 (Acute)

• Examples ?
• Classify (acute, obtuse, or right)
• 4, 5, 6
• 15, 20, 25

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You Try p361 (Classify)(Obtuse, Acute, or Right
?)
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You Try