sq roots pythagtheor

22
Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton

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Page 1: Sq roots pythagtheor

Exploring Square Roots and the Pythagorean

Theorem By: C Berg

Edited By: V T Hamilton

Page 2: Sq roots pythagtheor

Perfect SquareA number that is a square of

an integerEx: 32 = 3 · 3 = 9

3

3

Creates a Perfect Square of 9

Page 3: Sq roots pythagtheor

Perfect SquareList the perfect squares for the numbers 1-12

Page 4: Sq roots pythagtheor

Square RootThe inverse of the

square of a number

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Square RootIndicated by the

symbol

Radical Sign

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Square RootExample:

16 425 = 5

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Square RootEstimating square roots of non-perfect

squares

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Square RootFind the perfect

squares immediately greater and less than

the non-perfect square

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Square Root

32Example:

65

The answer is between 82

which is 64 and 92

which is 81

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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

a = leg

b = leg

c = hypotenuse

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Pythagorean Theorem

a = leg

b = leg

c = hypotenuse

The corner

of the s

quare

always points

to the h

ypotenuse

Page 16: Sq roots pythagtheor

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

33

4

_____

4

? 32 + 42 = 52

9 + 16 = 25 25 = 25

√25=5

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