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

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

• A number that is a square of an integer
• Ex 32 3 3 9

3
3
Creates a Perfect Square of 9
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Perfect Square

• List the perfect squares for the numbers 1-12

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Square Root

• The inverse of the square of a number

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Square Root

• Indicated by the symbol

Radical Sign
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Square Root

• Example

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25
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Square Root

• Estimating square roots of non-perfect squares

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Square Root

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

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

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Pythagorean Theorem

• Formula to find a missing side of a right triangle

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Pythagorean Theorem

• ONLY WORKS FOR RIGHT TRIANGLES!!!

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Pythagorean Theorem

• Part of a Right Triangle
• Hypotenuse
• 2 Legs

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Pythagorean Theorem
c hypotenuse
a leg
b leg
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Pythagorean Theorem
c hypotenuse
a leg
The corner of the square always points to the
hypotenuse
b leg
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Pythagorean Theorem

• Lengths of the legs a b
• Length of the hypotenuse c

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Pythagorean Theorem

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

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Pythagorean Theorem

• a2 b2 c2

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