A number that has a whole number as its square root is called a perfect square. The first few perfect squares are listed below. Slide 8.8- 2.

Slides:

Advertisements

Similar presentations

Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

Advertisements

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.

Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

Square Roots and the Pythagorean Theorem Section 6.4.

The Distance and Midpoint Formulas and Other Applications 10.7.

The Pythagorean Theorem

The Pythagorean Theorem

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

Pythagorean Theorem Review

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.

Right Triangles And the Pythagorean Theorem. Legs of a Right Triangle Leg -the two sides of a right triangle that form the right angle Leg.

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.

Chapter 8 Section 1. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Evaluating Roots Find square roots. Decide whether a given root.

Monday, March 2 Approximate square roots on a calculator. Solve square root equations. Use Pythagorean Theorem to find missing dimension on a right triangle.

11 a=____ b=____ c=____ a2a2 c2c2 b2b2 Pythagorean Theorem In any right triangle, the sum of the square of the lengths of the legs is equal to the square.

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

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

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

4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.

MTH 092 Section 15.6 The Pythagorean Theorem. Right Triangles A right triangle is a triangle that has one right (90-degree) angle. The side opposite the.

RIGHT TRIANGLES A RIGHT TRIANGLE is a triangle with one right angle. a b c Sides a and b are called legs. Side c is called the hypotenuse.

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

How can you find the height of the building in the diagram below? 24 ft 7 ft x ft.

Chapter 10 Geometry © 2010 Pearson Education, Inc. All rights reserved.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

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.

What is a right triangle? A triangle with a right angle.

8-8 The Pythagorean Theorem Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

1 Bridges The William H. Harsha Bridge is a cable- stayed bridge that spans the Ohio River between Maysville, Kentucky, and Aberdeen, Ohio. About how long.

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

Pythagorean Theorem. What is a right triangle? It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 1 Rational Numbers: Positive and Negative Decimals 5.

Section Goal  Find the side lengths of 45 ˚ -45 ˚ -90 ˚ triangles.

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

The Pythagorean Theorem

The Distance and Midpoint Formulas

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

SOL 8.10 Pythagorean Theorem.

1 pt 1 pt 1 pt 1 pt 1 pt 2 pt 2 pt 2 pt 2 pt 2 pt 3 pt 3 pt 3 pt 3 pt

Estimating Square Roots

Chapter 8 Section 1.

Objective The student will be able to:

7.1 Apply the Pythagorean Theorem

4 Chapter Chapter 2 Decimals.

The Pythagorean Theorem

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Pythagorean Theorem What is it??

6.2: Pythagorean Theorem Objectives:

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

5-3: The Pythagorean Theorem

7.0: Pythagorean Theorem Objectives:

10.4 Pythagorean Theorem Objective: Students will learn how to find a missing length of a right triangle by using the Pythagorean Theorem.

The Pythagorean Theorem

10.4 Pythagorean Theorem Objective: Students will learn how to find a missing length of a right triangle by using the Pythagorean Theorem.

G3.2 Pythagorean Theorem Objectives:

The Distance Formula & Pythagorean Theorem

Objective The student will be able to:

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

If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.

The Pythagorean Theorem

Pythagorean Theorem GOAL: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in.

10-1 The Pythagorean Theorem

Triangle Relationships

Presentation transcript:

A number that has a whole number as its square root is called a perfect square. The first few perfect squares are listed below. Slide

Parallel Example 1 Find the Square Root of Numbers Slide Use a calculator to find each square root. Round answers to the nearest thousandth. a. The calculator shows ; round to b. The calculator shows ; round to c. The calculator shows ; round to

Pythagorean Theorem (Gou Gou’s Thm) Slide

Slide One place you will use square roots is when working with the Pythagorean Theorem. This theorem applies only to right triangles. Recall that a right triangle is a triangle that has one 90° angle. In a right triangle, the side opposite the right angle is called the hypotenuse. The other two sides are called legs.

Slide

Slide

Parallel Example 2 Find the Unknown Length in Right Triangles Slide Find the unknown length in each right triangle. Round answers to the nearest tenth if necessary. a. The unknown length is the side opposite the right angle. Use the formula for finding the hypotenuse. 8 cm 15 cm The length is 17 cm. long

Parallel Example 2 continued Find the Unknown Length in Right Triangles Slide Find the unknown length in each right triangle. Round answers to the nearest tenth if necessary. b. Use the formula for finding the leg. 15 ft 40 ft The length is approximately 37.1 ft long.

Parallel Example 3 Using the Pythagorean Theorem Slide An electrical pole is shown below. Find the length of the guy wire. Round your answer to the nearest tenth of a foot if necessary. The length of the guy wire is approximately 69.5 ft. 35ft 60 ft

The Distance Formula

Example Find the distance between (4,-5) and (9,-2). Find the distance between (0,-2) and (-2,0) Find the distance between (-4,-6) and (2,5)

Hw Section