Looking For Pythagoras Practice, Practice, Practice!

Slides:

Advertisements

Similar presentations

Square Root Chapter 9.

Advertisements

aselhajj1 Pythagoras ( B.C.) He was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music.

Objective- To solve problems involving the Pythagorean Theorem.

The Pythagorean Theorem and Its Converse

Pythagorean Theorem Properties of Special Right Triangles

The Pythagorean Theorem

G2.a How Do I Apply Properties of Right Triangles including The Pythagorean Theorem? Warm Up Problem of the Day Lesson Presentation Course 3.

Simplifying Radicals.

Pythagorean theorem PROBLEM SOLVING.

Numbers & Geometry Points and Distances. 6/3/2013 Numbers and Geometry 2 Distance d between numbers a and b d = Example: | = Points and Distances.

How to Find the Square Root of a Non-Perfect Square

Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)

The Pythagorean Theorem Problem 3.1

Square Roots and the Pythagoren Theorm

Main Idea and New Vocabulary NGSSS Key Concept: Pythagorean Theorem

Warm Up Estimate the value of each to the nearest tenth. 1. √30 2. √14

The Pythagorean Theorem

Phythagoras Solving a missing side of a right angled triangle. Miss Hudson’s Maths.

PYTHAGOREAN THEOREM.

(3, 4, 5)(6, 8, 10)(12, 16, 20) (5, 12, 13)(10, 24, 26) (7, 24, 25) (8, 15, 17) (9, 40, 41) (11, 60, 61) (12, 35, 37) (20, 21, 29) PYTHAGOREAN TRIPLES.

Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.

CONFIDENTIAL 1 Grade 8 Pre-Algebra Pythagorean Theorem 2.

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

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.

Geometry Section 9.4 Special Right Triangle Formulas

Pythagorean Theorem As posted by: oints/math/pythagorean.html.

Aim: How do we find the lengths of the sides in a right triangle? Do Now 1. Solve 2(x + 5) = Find the measure of the missing angle? 48 o 17 o 100.

Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite.

MA.912.G.5.1 : Apply the Pythagorean Theorem and its Converse. A.5 ft B.10 ft C. 15 ft D. 18 ft What is the value of x? x 25 ft 20 ft.

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

The Pythagorean Theorem. The Parts of a right triangle a b c l egs hypotenuse a² + b² = c².

7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.

Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

Geometry Section 9.2 The Pythagorean Theorem. In a right triangle the two sides that form the right angle are called the legs, while the side opposite.

1 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.

Sec: 7.1 and 7-2 Sol: G.7. Find the geometric mean between each pair of numbers. 4 and 9.

Pythagorean theorem! By : Katey Lynch. History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something.

The Pythagorean Theorem

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.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

Honors Geometry Section 5.5 Special Right Triangle Formulas.

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.

7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.

Section 8-1. Find the geometric mean between each pair of numbers. 4 and 9.

Lesson 9.3 – 9.4 The Pythagorean Theorem Essential Question: How do you use the Pythagorean theorem to solve problems?

Parts of a Right Triangle A B C Leg Hypotenuse Acute Angle Right Angle Acute Angle R e m e m b e r t h a t t h e h y p o t e n u s e i s a l w a y s t.

Geometry Section 7.1 Apply the Pythagorean Theorem.

SOL 8.10 Pythagorean Theorem.

Pythagorean Theorem and Its Converse

Practice, Practice, Practice!

The Pythagorean Theorem

Standard: MG 3.3 Objective: Find the missing side of a right triangle.

The Pythagorean Theorem

Pythagorean Theorem Converse

The Pythagorean Theorem

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

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

Pythagorean Theorem Practice, Practice, Practice!.

Objective- To solve problems involving the Pythagorean Theorem.

6-3 The Pythagorean Theorem Pythagorean Theorem.

Page 134 First, some definitions.

Bellwork (block 2) Textbook pg 415 (ALL)

Objective- To solve problems involving the Pythagorean Theorem.

The Distance Formula & Pythagorean Theorem

Solve for the unknown side or angle x

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

Pythagorean Theorem OR.

10-1 The Pythagorean Theorem

Even ANSWERS TO HOMEWORK

Presentation transcript:

Looking For Pythagoras Practice, Practice, Practice!

Practice the Pythagorean Theorem The base of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? 6 feet 8 feet ? feet a 2 + b 2 = c = c = c = c 2 10 = c The length of the ladder is 10 feet.

Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV? Practice the Pythagorean Theorem 20 inches 25 inches ? inches a 2 + b 2 = c b 2 = b 2 = 625 b 2 = 225 b = 15 The width of the TV is 15 inches.

Town A is 9 miles north of Town B. Town C is 12 miles east of Town A. A road connects towns B and C directly. Find the length of this road. Practice the Pythagorean Theorem Town A Town B Town C 9 miles 12 miles ? miles a 2 + b 2 = c = c = c = c 2 15 = c The length of the road is 15 miles.

If the legs of an isosceles right triangle are 5 inches long, find the length of the hypotenuse. Practice the Pythagorean Theorem 5 inches ? inches a 2 + b 2 = c = c = c 2 50 = c 2

Your Assignment! The Pythagorean Theorem wkst