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

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Presentation on theme: "Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton."— Presentation transcript:

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

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

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

4 Square Root The inverse of the square of a number

5 Square Root Indicated by the symbol Radical Sign

6 Square Root Example: 25 = 5

7 Square Root Estimating square roots of non-perfect squares

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

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

10 Pythagorean Theorem

11 Formula to find a missing side of a right triangle

12 Pythagorean Theorem ONLY WORKS FOR RIGHT TRIANGLES!!!

13 Pythagorean Theorem Part of a Right Triangle: Hypotenuse 2 Legs

14 Pythagorean Theorem a = leg b = leg c = hypotenuse

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

16 Pythagorean Theorem Lengths of the legs: a & b Length of the hypotenuse: c

17 Pythagorean Theorem The sum of the squares of the legs is equal to the square of the hypotenuse

18 Pythagorean Theorem a 2 + b 2 = c 2

19 Pythagorean Theorem = = = 25


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