sq roots pythagtheor

Exploring Square Roots and the Pythagorean

Theorem By: C Berg

Edited By: V T Hamilton

Perfect SquareA number that is a square of

an integerEx: 32 = 3 · 3 = 9

3

3

Creates a Perfect Square of 9

Perfect SquareList the perfect squares for the numbers 1-12

Square RootThe inverse of the

square of a number

Square RootIndicated by the

symbol

Radical Sign

Square RootExample:

16 425 = 5

Square RootEstimating square roots of non-perfect

squares

Square RootFind the perfect

squares immediately greater and less than

the non-perfect square

Square Root

32Example:

65

The answer is between 82

which is 64 and 92

which is 81

Pythagorean Theorem

Pythagorean Theorem

Formula to find a missing side of a

right triangle

Pythagorean Theorem

ONLY WORKS FOR RIGHT

TRIANGLES!!!

Pythagorean Theorem

Part of a Right Triangle:

•Hypotenuse •2 Legs

Pythagorean Theorem

a = leg

b = leg

c = hypotenuse

Pythagorean Theorem

a = leg

b = leg

c = hypotenuse

The corner

of the s

quare

always points

to the h

ypotenuse

Pythagorean Theorem•Lengths of the legs:

a & b •Length of the hypotenuse: c

Pythagorean Theorem

The sum of the squares of the legs is equal to

the square of the hypotenuse

Pythagorean Theorem

a2 + b2 = c2

Pythagorean Theorem

33

4

_____

4

? 32 + 42 = 52

9 + 16 = 25 25 = 25

√25=5