By: Robert Ulloa/ Josue Apodaca

Slides:

Advertisements

Similar presentations

Proving the Distance Formula

Advertisements

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest.

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.

Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.

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

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’

8-1, 1-8 Pythagorean Theorem, Distance Formula, Midpoint Formula

Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.

Pythagorean Theorem. Bell Work □ Please graph the problem and the answer: 9² + 12² = □ Graph the problem on one paper and the answer on the other paper.

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

Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 5 Polynomials and Factoring.

Objective The student will be able to:

1. Find the perimeter.. 1. Answer Start out by labeling all of the parallel sides.

Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.

ALGEBRA READINESS LESSON 3-6 Warm Up Lesson 3-6 Warm Up.

Pythagorean Theorem and it’s Converse. Pythagorean Theorem Pythagorean Theorem: used for right triangles, it is a tool used to solve for a missing side.

4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.

ALGEBRA READINESS LESSON 3-6 Warm Up Lesson 3-6 Warm Up.

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

Pythagorean Theorem SOL 8.10 cont.. Review Previously, we used the Pythagorean Theorem to find the hypotenuse of a right triangle. (a 2 + b 2 = c 2 )

Bell Ringer What is the measurement of the missing angles? 38˚ b a c d a = 142°, supplementary b = 142°, alternate interior angle c = 38°, corresponding.

Click on Geometry Click on Plane Geometry Scroll down to Pythagoras’ Theorem and Pythagorean Triples You will need both of these.

Pythagorean Theorem 8/7/07 Pythagorean Theorem DO NOW Construct and define the following triangles: 1.Scalene 2.Isosceles 3.Right 4.Equilateral.

Exploring. Pythagorean Theorem For any right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the.

Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.

SOLUTION Finding Perimeter and Area STEP 1 Find the perimeter and area of the triangle. Find the height of the triangle. Pythagorean Theorem Evaluate powers.

Over Lesson 10–4 5-Minute Check 1. Over Lesson 10–4 5-Minute Check 2.

Find the length of the hypotenuse of the right triangle. Tell whether the side lengths form a Pythagorean triple. Because the.

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.

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

Objective: To use the Pythagorean Theorem to solve real world problems. Class Notes Sec 9.2 & a b c a short leg b long leg c hypotenuse 2. Pythagorean.

The Pythagorean Theorem

The Distance and Midpoint Formulas

SOL 8.10 Pythagorean Theorem.

Solving Applications 5.8 Applications The Pythagorean Theorem.

Objective The student will be able to:

Sect. 9.2 & 9.3 The Pythagorean Theorem

Special Right Triangles

7.2 The Pythagorean Theorem and its Converse

7.1 Apply the Pythagorean Theorem

a2 + b2 = c2 Pythagorean Theorem c c b b a a

Algebra 1 – The Distance Formula

Objective The student will be able to:

6-3 The Pythagorean Theorem Pythagorean Theorem.

5-7 The Pythagorean Theorem

Finding the Distance Between Two Points.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

5-3: The Pythagorean Theorem

The Pythagorean Theorem and Its Converse

6-3 Warm Up Problem of the Day Lesson Presentation

Pythagorean Theorem Pre-Algebra.

Use the Pythagorean Theorem to find a Leg

Objective The student will be able to:

6.5 Pythagorean Theorem.

Objective Students will be able to:

Solve for the unknown side or angle x

Chapter 3: Solving Equations

Geometric Mean and the Pythagorean Theorem

The Pythagorean Theorem

Pythagorean Theorem Pre-Algebra.

10-1 The Pythagorean Theorem

Five-Minute Check (over Lesson 8–1) Mathematical Practices Then/Now

By: Robert Ulloa/ Josue Apodaca

Presentation transcript:

By: Robert Ulloa/ Josue Apodaca Pythagorean Theorem By: Robert Ulloa/ Josue Apodaca

How to format Pythagorean Theorem In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

Example #1 This problem could also be solved using the Pythagorean Triple 3, 4, 5. Since 6 is 2 times 3, and 8 is 2 times 4, then x must be 2 times 5. Answer: 10 m

Example #2 A ramp was constructed to load a truck. If the ramp is 9 feet long and the horizontal distance from the bottom of the ramp to the truck is 7 feet, what is the vertical height of the ramp?

A triangle has sides 6, 7 and 10. Is it a right triangle? Let a = 6, b = 7 and c = 10. The longest side MUST be the hypotenuse, so c = 10. Now, check to see if the Pythagorean Theorem is true