PYTHAGOREAN THEOREM. PYTHAGORAS HOMEWORK There are many different proofs that exist that proof the Pythagorean Theorem. Find one and know it for the.

Slides:

Advertisements

Similar presentations

Geometry Agenda 1. ENTRANCE 2. Go over Tests/Spiral

Advertisements

1) Draw a right triangle and label the sides. Label the legs 6cm and 9cm. Find the hypotenuse and show your work. Round to nearest hundredth. 2) Which.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

Geometry Section 9.4 Special Right Triangle Formulas

CHAPTER 8 RIGHT TRIANGLES

8.1 Pythagorean Theorem and Its Converse

Homework: Collected. 1. What do you know about the Pythagorean Theorem? a) Formula? b) When and why it’s used? c) Solve for x:

Lesson 9.4 Geometry’s Most Elegant Theorem Objective: After studying this section, you will be able to use the Pythagorean Theorem and its converse.

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

Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse

Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.

Objective: To use the Pythagorean Theorem and its converse.

9/23/ : The Pythagoream Theorem 5.4: The Pythagorean Theorem Expectation: G1.2.3: Know a proof of the Pythagorean Theorem and use the Pythagorean.

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.

+ Warm Up B. + Homework page 4 in packet + #10 1. Given 2. Theorem Given 4. Corresponding angles are congruent 5. Reflexive 6. AA Similarity 7.

WARM UP Pass out progress reports! Get a Calendar from the front!

8-1 The Pythagorean Theorem and Its Converse.

The Pythagorean Theorem

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.

Goal 1: To use the Pythagorean Theorem Goal 2: To use the Converse of the Pythagorean Theorem.

Lesson 9.4 Geometry’s Most Elegant Theorem Objective: After studying this section, you will be able to use the Pythagorean Theorem and its converse.

The Pythagorean Theorem and Its Converse OBJECTIVE: To use the Pythagorean Theorem and its converse BIG IDEAS: MEASUREMENT REASONING AND PROOF ESSENTIAL.

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

Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.

The Pythagorean Theorem describes the relationship between the length of the hypotenuse c and the lengths of the legs a & b of a right triangle. In a right.

Pythagorean Theorem and Its Converse Chapter 8 Section 1.

Converse of Pythagorean Theorem

Pythagorean Theorem Theorem 8-1: Pythagorean Theorem – In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of.

3/11-3/ The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.

Honors Geometry Section 5.5 Special Right Triangle Formulas.

Section 8-3 The Converse of the Pythagorean Theorem.

Sec: 8.1 Sol: G.8 Theorem 7.4: Pythagorean Theorem In a right triangle the sum of the squares of the measures of the legs equals the square of the measure.

8.2 Pythagorean Theorem and Its Converse Then: You used the Pythagorean Theorem to develop the Distance Formula. Now: 1. Use the Pythagorean Theorem. 2.

The Pythagorean Theorem The Ladder Problem. Right Triangles Longest side is the hypotenuse, side c (opposite the 90 o angle) The other two sides are the.

Converse to the Pythagorean Theorem

Bellwork: ACT Review: Two sides of a triangle measure 6 and 15, what are the possible values for the measure of the third side of the triangle? Geometry.

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.

Converse of the Pythagorean Theorem

Introduction to Chapter 4: Pythagorean Theorem and Its Converse

Pythagorean Theorem and it’s Converse

Midpoint and Distance in the Coordinate Plane

Homework: Maintenance Sheet Due Thursday. Unit Test Friday

The Converse of the Pythagorean Theorem

Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.

Pythagorean Theorem and Its Converse

WARM UP Decide whether the set of numbers can represent the side lengths of a triangle. 2, 10, 12 6, 8, 10 5, 6, 11.

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

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

8.1 Pythagorean Theorem and Its Converse

Chapter 1: Lesson 1.1 Rectangular Coordinates

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

The Pythagorean Theorem

9.2 The Pythagorean Theorem

Pythagorean Theorem a²+ b²=c².

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

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse

(The Pythagorean Theorem)

Solve for the unknown side or angle x

Objective: To use the Pythagorean Theorem and its converse.

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

Pythagorean Theorem and it’s converse

WARM UP Decide whether the set of numbers can represent the side lengths of a triangle. 2, 10, 12 6, 8, 10 5, 6, 11.

The Pythagorean Theorem

Converse to the Pythagorean Theorem

Pythagorean Theorem & Its Converse

7-2 PYTHAGOREAN THEOREM AND ITS CONVERSE

Presentation transcript:

PYTHAGOREAN THEOREM

PYTHAGORAS

HOMEWORK There are many different proofs that exist that proof the Pythagorean Theorem. Find one and know it for the Chapter 8 Test!

THE EARLY GREEKS THOUGHT OF THE PYTHAGOREAN THEOREM IN THIS FORM: The area of the square on the hypotenuse of a right triangle equals the sum of the areas of the squares on the legs. Draw a diagram to illustrate that interpretation.

SZYE13Y

WHICH EQUATIONS ARE CORRECT FOR THE RIGHT TRIANGLE?

FIND THE VALUE OF X.

FIND THE LENGTH OF A SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 12.

THE DIAGONALS OF A RHOMBUS HAVE LENGTHS 16 AND 30. FIND THE PERIMETER OF THE RHOMBUS.

Channing Tatum walked 2 km north, 6 km west, 4 km north, and 2 km west. If he decides to “go straight,’ how far must he walk across the fields to his staring point?

The dimensions of the rectangular box are 6, 4 and 3. Find the length of a diagonal of the box.

CONVERSE OF THE PYTHAGOREAN THEOREM

A TRIANGLE HAS SIDES OF THE GIVEN LENGTHS. IS IT ACUTE, RIGHT OR OBTUSE?

COORDINATE GEOMETRY

DISTANCE FORMULA

A model rocket shot up to a point 20m above the ground, hitting a smokestack, and then dropped straight down to a point 11 m from its launch site. Find, to the nearest meter, the total distance traveled from launch to touchdown.