sq roots pythagtheor
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TRANSCRIPT
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