# 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

Perfect Square A number that is a square of an integer Ex: 3 2 = 3 · 3 = 9 3 3 Creates a Perfect Square of 9

Perfect Square List the perfect squares for the numbers 1-12

Square Root The inverse of the square of a number

Square Root Indicated by the symbol Radical Sign

Square Root Example: 25 = 5

Square Root Estimating square roots of non-perfect squares

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

Square Root Example: 65 The answer is between 8 2 which is 64 and 9 2 which is 81

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 square always points to the hypotenuse

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 a 2 + b 2 = c 2

Pythagorean Theorem 3 3232 4242 5252 4 5 3 2 + 4 2 = 5 2 9 + 16 = 25 25 = 25

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