Do Now Take out homework for review.

Slides:

Advertisements

Similar presentations

Lesson 9-5 Pages The Pythagorean Theorem Lesson Check 9-4.

Advertisements

Agenda 1) Bell Work 2) Outcomes 3) Review/Finish 8.6 Notes

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.

TODAY IN GEOMETRY…  Warm Up: Simplifying Radicals and Rationalizing the Denominator  STATs for Ch.6 Test  Learning Target : 7.1 Use the Pythagorean.

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.

5-3A The Pythagorean Theorem

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.

The Pythagorean Theorem Objective: Find the length of a using the Pythagorean Theorem.

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’

Pythagorean Theorem By: Tytionna Williams.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

8.1 Pythagorean Theorem and Its Converse

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

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.

Unit 8 Lesson 9.2 The Pythagorean Theorem CCSS G-SRT 4: Prove theorems about triangles. Lesson Goals Use the Pythagorean Th. to find missing side lengths.

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.

Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem 1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it!

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

The Pythagorean Theorem

Topic 10 – Lesson 9-1 and 9-2. Objectives Define and identify hypotenuse and leg in a right triangle Determine the length of one leg of a right triangle.

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

Objectives: 1) To use the Pythagorean Theorem. 2) To use the converse of the Pythagorean Theorem.

Quadratic Equations and Problem Solving. The square of a number minus twice the number is sixty three.

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

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

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.

NOVEMBER 3, 2008 Pythagorean Theorem and Special Right Triangles.

PYTHAGOREAN THEOREM TRIPLES. integers A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a 2 + b 2 = c 2 Example: The.

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.

Converse of the Pythagorean Theorem

Introduction to Chapter 4: Pythagorean Theorem and Its Converse

Warm Up Simplify the square roots

8.1 Pythagorean Theorem and Its Converse

The Pythagorean Theorem

Pythagorean Theorem and it’s Converse

Pythagorean theorem.

Pythagorean Theorem and Special Right Triangles

Pythagorean Theorem and Its Converse

Rules of Pythagoras All Triangles:

The Pythagorean Theorem

LT 5.7: Apply Pythagorean Theorem and its Converse

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.

Converse of the Pythagorean Theorem

Bellringer Simplify each expression 5 ∙ ∙ 8.

7.2 The Pythagorean Theorem and its Converse

Pythagorean Theorem and Its Converse

Welcome back from spring break! The rest of the year will FLY by!

7.1 Apply the Pythagorean Theorem

Math 3-4: The Pythagorean Theorem

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

9-2 Pythagorean Theorem.

The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.

8-2 The Pythagorean Theorem and Its Converse

8.1 Pythagorean Theorem and Its Converse

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

Week 10 Math Vocabulary x intercept – the point where a graph crosses the x axis y intercept – the point where a graph crosses the y axis odds – the ratio.

10.3 and 10.4 Pythagorean Theorem

8.1 Pythagorean Theorem and Its Converse

Use the Pythagorean Theorem to find a Leg

11.7 and 11.8 Pythagorean Thm..

Geometric Mean and the Pythagorean Theorem

The Pythagorean Theorem

The Pythagorean Theorem

Converse to the Pythagorean Theorem

7-2 PYTHAGOREAN THEOREM AND ITS CONVERSE

Presentation transcript:

Do Now Take out homework for review

Skills Check When you are finished, turn into my inbox Glue in “Pythagorean Triples” to p. 35 in MSG Keep this open on your desk. We will take notes when everyone is finished

Pythagorean Triples A Pythagorean Triple is a set of positive integers, a, b, and c, that fit the rule: a2 + b2 = c2.

Pythagorean Triples Follow the process: A.) Pick an odd positive integer. B.) Square it. C.) Determine consecutive integers whose sum equals B (divide B by 2 and take the 2 integers on either side of the answer). D.) You have generated a triple with A and C. Example: 7 49 24 & 25 7, 24, 25 Example: 11 121 60 & 61 11, 60, 61

You try: Is a triangle with side measures of 3, 4, 5 a right triangle? Pythagorean Triples You try: Is a triangle with side measures of 3, 4, 5 a right triangle? The following are all Pythagorean Triples. What pattern do you notice between these? 3, 4, 5 6, 8, 10 9, 12, 15 12, 16, 20 15, 20, 25 * What are the next 3 Triples in this pattern? 18, 24, 30

Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem Add to Notes in MSG. 1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it! Yes, because 302 + 402 = 502 (900 + 1600 = 2500). (If the sum of squares of legs equals square of hypotenuse, it is a right triangle.) 2.) Is a triangle with side measures of 6, 7, and 12 units a right triangle? Prove it! No, because 62 + 72 ≠ 122 (36 + 49 or 85 ≠ 144).

Exit Ticket Come up with a Pythagorean Triple that we have not discussed in class today! Off limits: -3, 4, 5 or any multiple of this triangle -7, 24, 25 -11, 60, 61