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

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

**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: 4

**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: The answer is between 8 2 which is 64 and 9 2 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 = c = hypotenuse b = leg

**Pythagorean Theorem**

c = hypotenuse a = leg b = leg

**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**

5 2 3 2 3 4 5 4 2 3 2 + 4 2 = 5 2 9 + 16 = 25 25 = 25