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Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle
Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c
b a a b Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c Note: The order of the two legs doesnt matter!
a b c Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!
6 8 x Solve for x. x = 10
4 7 y Solve for y.
6 t 15 Solve for t.
To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. 4 ft. 10 ft. x
20 miles A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 45 miles x
Informal Proof #1 Inscribe a square within the square.
a b a a a b b b c c c c Informal Proof #1
a b a a a b b b c c c c a b c
b a a a b b c c c a b c
b a a a b b c c c a b c a b c
b a a b c c a b c a b c
b a a b c c a b c a b c b a c
a b c a b c a b c b a c
a b c a b c a b c b a c a b c
a b c a b c b a c a b c
a b c a b c b a c a b c
a b c a b c b a c a b c a b c
a b c b a c a b c a b c a b c
b a c a b c a b c a b c a b c
b a c a b c a b c a b c b a c
a b c a b c a b c b a c
a b a a a b b b c c c c Informal Proof #2 a + b Total Purple Yellow Area Area Area - = - =
Pythagorean Theorem As posted by: oints/math/pythagorean.html.
Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.
Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite.
Phythagoras Solving a missing side of a right angled triangle. Miss Hudson’s Maths.
Sec 6.6 Pythagorean Theorem (Leg1) 2 + (leg2) 2 = (Hyp) 2 hypotenuse Leg 2 Leg 1.
Do Now: A golf ball is launched at 20 m/s at an angle of 38˚ to the horizontal. 1.What is the vertical component of the velocity? 2.What is the horizontal.
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.
Two Special Right Triangles 45°- 45°- 90° 30°- 60°- 90°
Objective The student will be able to: use the Pythagorean Theorem Designed by Skip Tyler, Varina High School.
Looking For Pythagoras Practice, Practice, Practice!
Lesson 7-1: The Pythagorean Theorem 1 Lesson 7-1 The Pythagorean Theorem.
8.1: Right Triangles Pythagorean Theorem Properties of Special Right Triangles.
Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.
Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.
Objective The student will be able to: use the Pythagorean Theorem.
Squares and Square Root WALK. Solve each problem REVIEW:
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Lived in southern Italy during the sixth century B.C. Considered.
The Pythagorean Theorem. The Parts of a right triangle a b c l egs hypotenuse a² + b² = c².
What is the difference between a new penny and an old quarter? Only 4 Gen!uses.
Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.
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.
Holt Geometry 5-7 The Pythagorean Theorem 5-7 The Pythagorean Theorem Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.
Pre-Algebra Q4W1: Pythagorean Theorem Objective: I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles.
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.
Course The Pythagorean Theorem G2.a How Do I Apply Properties of Right Triangles including The Pythagorean Theorem? Course 3 Warm Up Warm Up Problem.
The Distance Formula & Pythagorean Theorem Day 90 Learning Target : Students can find the distance between 2 points using the distance formula.
1. Please pick up your SKILL BUILDER. 2. Turn in your Weekend Skill Builder. 3. Start working on the New skill builder now.
Course The Pythagorean Theorem 4-8 The Pythagorean Theorem Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.
Name:__________ warm-up A circular pond has an area of 69.3 square meters. What is the radius of the pond? Round to the nearest tenth of a meter.
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 called legs. The side.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Pythagorean Theorem What is it and how does it work? 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.
What is a right triangle? A triangle with a right angle.
The Pythagoras Theorem A tool for Right Angled Triangles.
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.
Unit 3 - Study Guide. Questions 1 & 2 The Pythagorean Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares.
CH 8 Right Triangles. Geometric Mean of 2 #’s If you are given two numbers a and b you can find the geometric mean. a # = # b 3 x = x 27 Ex ) 3 and 27.
Pythagorean Theorem, Distance Formula and Midpoint Formula.
Quadratic Equations and Problem Solving. The square of a number minus twice the number is sixty three.
Section 7-4 Area of Trapezoids, Rhombus, Kites SPI 21B: solve equations to find length, width, perimeter and area SPI 32L: determine the area of indicated.
Warm up Write the equation of the line that: 1. Is parallel to y = 3 and goes through the point (2, -4) 2. Is perpendicular to y = 2x + 6 and goes through.
Course The Pythagorean Theorem Warm Up Estimate the value of each to the nearest tenth. 1. √ √14 3. √55 4. √ or or 3.8.
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.
How do I use the Pythagorean Theorem to solve problems?
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