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Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton

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... Roots and the Pythagorean Theorem. By: C Berg. Edited ... Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse ... – PowerPoint PPT presentation

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Title: Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton


1
Exploring Square Roots and the Pythagorean
Theorem By C Berg
Edited By V T Hamilton
2
Perfect Square
  • A number that is a square of an integer
  • Ex 32 3 3 9

3
3
Creates a Perfect Square of 9
3
Perfect Square
  • List the perfect squares for the numbers 1-12

4
Square Root
  • The inverse of the square of a number

5
Square Root
  • Indicated by the symbol

Radical Sign
6
Square Root
  • Example

5
25
7
Square Root
  • Estimating square roots of non-perfect squares

8
Square Root
  • Find the perfect squares immediately greater and
    less than the non-perfect square

9
Square Root
Example
The answer is between 82 which is 64 and 92
which is 81
65
10
  • Pythagorean Theorem

11
Pythagorean Theorem
  • Formula to find a missing side of a right triangle

12
Pythagorean Theorem
  • ONLY WORKS FOR RIGHT TRIANGLES!!!

13
Pythagorean Theorem
  • Part of a Right Triangle
  • Hypotenuse
  • 2 Legs

14
Pythagorean Theorem
c hypotenuse
a leg
b leg
15
Pythagorean Theorem
c hypotenuse
a leg
The corner of the square always points to the
hypotenuse
b leg
16
Pythagorean Theorem
  • Lengths of the legs a b
  • Length of the hypotenuse c

17
Pythagorean Theorem
  • The sum of the squares of the legs is equal to
    the square of the hypotenuse

18
Pythagorean Theorem
  • a2 b2 c2

19
Pythagorean Theorem
52
32
5
32 42 52 9 16 25 25 25
3
4
42
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