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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
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
4.6-Square Roots and the Pythagorean Theorem CATHERINE CONWAY MATH081.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.
The Pythagorean Theorem
Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
3/11-3/ The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.
The Pythagorean Theorem Chapter 6. The Pythagorean Theorem In a right triangle, the square of the length of the hypotenuse is equal to the sum of the.
8.1 Pythagorean Theorem and Its Converse
8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Pythagorean Theorem By: Tytionna Williams.
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
Objective The student will be able to:
Proving the Distance Formula
Square Roots and the Pythagorean Theorem Section 6.4.
Square Roots & Pythagorean Theorem. The opposite of + is - The opposite of is The opposite of x 2 is Inverse Operations…
Pythagorean Theorem Unit 7 Part 1. The Pythagorean Theorem The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
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