Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.

Slides:

Advertisements

Similar presentations

The Pythagorean Theorem leg hypotenuse leg Applies to Right Triangles only! The side opposite the right angle The sides creating the right angle are called.

Advertisements

4.6-Square Roots and the Pythagorean Theorem CATHERINE CONWAY MATH081.

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.

EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.

The Pythagorean Theorem

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

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.

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.

The Pythagorean Theorem Objective: Find the length of a using the Pythagorean Theorem.

Square Roots and the Pythagorean Theorem Section 6.4.

Pythagorean Theorem By: Tytionna Williams.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

In a right triangle, the sides that form the right angle are called legs. The side opposite the right angle is the hypotenuse. The lengths of the legs.

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.

The Pythagorean Theorem

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.

4.7 – Square Roots and The Pythagorean Theorem. SQUARES and SQUARE ROOTS: Consider the area of a 3'x3' square: A = 3 x 3 A = (3) 2 = 9.

Objective The student will be able to:

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.3 Square Roots and the Pythagorean Theorem.

Section 7.1 – Solving Quadratic Equations. We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root.

Triangles and Lines – Special Right Triangles There are two special right triangles : 30 – 60 – 90 degree right triangle 45 – 45 – 90 degree right triangle.

Pythagorean Theorem Rochelle Williams TEC 539 Grand Canyon University July 7, 2010.

30  - 60  - 90  Triangles And You! Remember the Pythagorean Theorem? The sum of the square of the legs is equal to the square of the hypotenuse. a.

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.

The Pythagorean Theorem

Topic 10 – Lesson 9-1 and 9-2. Objectives Define and identify hypotenuse and leg in a right triangle Determine the length of one leg of a right triangle.

OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.

Pythagorean Theorem - Thurs, Oct 7

Pythagorean Theorem What is it and how does it work? a 2 + b 2 = c 2.

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.4 Square Roots and the Pythagorean Theorem.

The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.

Name:________________________ Date:______________ 1 Chapter 11 Lesson 5 StandardAlgebra 1 standard 2.0 Understand and use the operation of taking a root.

10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.

The Pythagorean Theorem

8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.

Pythagorean Theorem Distance Formula. Vocabulary Right Triangle – A Triangle with one 90° angle Hypotenuse – The longest side of a right triangle (opposite.

The Pythagorean Theorem

Pythagorean theorem.

Geometry: Measuring Two-Dimensional Figures

Right Triangle The sides that form the right angle are called the legs. The side opposite the right angle is called the hypotenuse.

The Pythagorean Theorem

7.1 Apply the Pythagorean Theorem

The Pythagorean Theorem

Math 3-4: The Pythagorean Theorem

Chapter 9 Right Triangles and Trigonometry

9-2 Pythagorean Theorem.

6.2: Pythagorean Theorem Objectives:

8-2 The Pythagorean Theorem and Its Converse

PROVING THE PYTHAGOREAN THEOREM

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

7.0: Pythagorean Theorem Objectives:

10.3 and 10.4 Pythagorean Theorem

Pythagorean Theorem a²+ b²=c².

7-1 and 7-2: Apply the Pythagorean Theorem

11.7 and 11.8 Pythagorean Thm..

G3.2 Pythagorean Theorem Objectives:

6.5 Pythagorean Theorem.

LFP Writing Prompts.

Pythagorean Theorem What is it and how does it work? a2 + b2 = c2.

Similar Triangles Review

Pythagoras’ Theorem.

The Pythagorean Theorem

The Pythagorean Theorem

LFP Writing Prompts.

10-1 The Pythagorean Theorem

Maths Unit 23 – Pythagoras & Trigonometry

The Pythagorean Theorem a2 + b2 = c2

Presentation transcript:

Chapter 1: Square Roots and the Pythagorean Theorem Unit Review

What do I need to know? Side Length and Area of a Square – The side length of a square is equal to the square root of its area. – Length = √Area – Area = (Length) 2

– **The side length of a square multiplied by itself equals the area. ** side length = 5 units area = 5 x 5 = 25 units A = 25

You square root the area of a square to find its side length. √Area = side length √25 = A = 25

What do I need to know? The Approximate Square Root of a Number – For numbers that are not perfect squares, we can determine the approximate square root using estimation or a calculator. – Eg: Place each square root on the number line to show its approximate value: √2, √5, √11, √18, √24

What do I need to know? right triangle: a triangle with one right angle. Hypotenuse: the side opposite the right angle in a right triangle

What do I need to know? The Pythagorean Theorem – In a right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the two legs. Use the Pythagorean Theorem to find the length of a side in a right triangle, when two other sides are known.

Remember: – If looking for the the hypotenuse, add the squares of the other sides. – If looking for a leg, subtract the squares of the other sides.