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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 = 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
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 = = = 25
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Introduction to the Pythagorean Theorem. HOW IS THE PYTHAGOREAN THEOREM USED IN EVERYDAY LIFE? The access ramp will be covered with an all-weather carpet.
Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.
Area and Perimeter By Christine Berg Edited by V T Hamilton.
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= 2 = 4 = 5 = 10 = 12. Estimating Non-Perfect Squares For Integers that are NOT perfect squares, you can estimate a square root = 2.83.
Solving Quadratic Equations by Completing the Square.
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Algebra A1Mr. Brennan Chapter 12 Radicals and Connections to Geometry Review Hamilton-Wenham Regional High SchoolDepartment of Mathematics.
The World Of Triangles Free powerpoints at
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