Christa Lemily Pythagorean Theorem Mix

Students will see a visual introduction to using the Pythagorean Theorem when solving for missing side lengths on right triangles and an introduction to right triangle vocabulary.

geometrymathpythagorean theorem8th grade mathright triangles
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Christa Lemily Pythagorean Theorem Mix

Created 2 years ago

Duration 0:13:44
lesson view count 5615
Students will see a visual introduction to using the Pythagorean Theorem when solving for missing side lengths on right triangles and an introduction to right triangle vocabulary.
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Slide Content
  1. Understanding the Pythagorean Theorem

    Slide 1 - Understanding the Pythagorean Theorem

  2. Slide 2

    • Acute
    • Right
    • Obtuse
    • Pythagoras’ Pattern (Theorem)
  3. Slide 3

    • Acute
  4. Slide 4

    • Acute
  5. Slide 5

    • Obtuse
  6. Slide 6

    • Right
  7. a2 + b2 > c2	 	 a2 + b2 < c2 			a2 + b2 = c2

    Slide 7 - a2 + b2 > c2 a2 + b2 < c2 a2 + b2 = c2

    • Acute
    • Obtuse
    • Right
  8. Slide 8

    • Short Side
    • Short Side
    • Longest Side
  9. Slide 10

    • 8
    • 6
    • 6
    • A = 36
    • A = 64
    • 8
    • x = 10
    • x
    • x
    • 100 = x ∙ x
    • 8 x 8 = 64
    • 6 x 6 = 36
    • A = 100
    • 36
    • + 64
  10. Slide 11

    • 11
    • 7
    • 7
    • A = 49
    • A = 121
    • 11
    • A = 170
    • x ≈ 13.04
    • x
    • x
    • 170 = x ∙ x
    • 7 ∙ 7 = 72 = 49
    • 11 ∙ 11 = 112 = 121
    • 121
    • +49
    • √170
  11. Slide 12

    • 9
    • x
    • x
    • A = 441
    • A = 81
    • 9
    • A = 360
    • x ≈ 18.97
    • 21
    • 21
    • 360 = x ∙ x
    • 21 ∙ 21 = 212 = 441
    • 9 ∙ 9 = 92 = 81
    • 441
    • -81
    • √360
  12. Slide 13

    • 8
    • x
    • x
    • A = 256
    • A = 64
    • 8
    • A = 192
    • x ≈ 13.86
    • 16
    • 16
    • 192 = x ∙ x
    • 16 ∙ 16 = 162 = 256
    • 8 ∙ 8 = 82 = 64
    • 256
    • -64
    • √192
  13. Slide 14

    • 7 cm
    • 12 cm
    • h cm
  14. Slide 15

    • 8 cm
    • m in
    • 15 in.