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Pythagorean Theorem Lesson
 

Pythagorean Theorem Lesson

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Pythagorean Theorem Lesson

Pythagorean Theorem Lesson

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    Pythagorean Theorem Lesson Pythagorean Theorem Lesson Presentation Transcript

    • Introduction
      Introduction
    • The Pythagorean Theorem
    • Upon completing this lesson you will be able to:
      Identify sides of Right Triangle as either Legs or Hypotenuse
      Explain the Pythagorean Theorem
      Apply Pythagorean Theorem to find length of the sides of Right Triangles
    • Recall: TrianglesClassified In Two Ways
      Size of Angle
      Acute-All Angles less than 90 degrees
      Obtuse-One Angle Over 90 degrees
      Right-One 90 degree angle
      Length of Sides
      Equilateral-All three sides equal in length
      Isosceles-Two sides of equal length
      Scalene-No sides of equal length
    • Right Triangle
      LEG
      HYPOTENUSE
      LEG
      90°
    • Pythagorean Theorem
      a2 + b2 = c2
      HYPOTENUSE
      LEG
      c
      a
      b
      LEG
    • Pythagorean Theorem
      Legs
      - Two sides (a and b) that form the right angle
      Hypotenuse
      - Side opposite the right angle; called c
      Formula
      a2 + b2 = c2
    • Apply Theorem
      a=3
      C=?
      b=4
      a² + b² = c²
      3²+ 4²= c²
      9 + 16 = c²
      25 = c²
      c = 5
    • More Practice
      4² + 5² = C²
      a2 + b2 = c2
      16 + 25 = C²
      C=?
      41 = C²
      A=4
      √41 = C
      B=5
      3² + 6² = C²
      9 + 36 = C²
      C=?
      45 = C²
      B=3
      √45 = C
      A=6
    • Evaluation
      Identify the sides of each triangle as either legs or hypotenuse
      (assume all shapes are right triangles)
    • Evaluation
      Complete the five equations with a partner (assume all shapes are right triangles and Show Your Work)
      1) 2) 3)
      4) 5)
      c=?
      c=?
      a=4
      a=2
      a=6
      c=?
      b=5
      b=7
      b=3
      c=?
      a=1
      c=?
      a=4
      b=9
      b=8