'Longest side' presentation slideshows

Teaching High School Geometry

Teaching High School Geometry. New York City Department of Education Department of Mathematics. Agenda. Content and Process Strands Geometry Course Topics and Activities Topics New to High School Geometry Looking at the New Regents Exam. New York City Department of Education

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5-7

5-7. The Pythagorean Theorem. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Holt Geometry. Warm Up Classify each triangle by its angle measures. 1. 2. 3. Simplify

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LA COUNTY PAVEMENT MANAGEMENT SYSTEM (Stantec RoadMatrix)

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Trigonometry

Trigonometry. Trigonometry can be used for two things: 1. Using 1 side and 1 angle to work out another side, or 2. Using 2 sides to work out an angle. Sin, Cos and Tan. To work out things using trigonometry we use three new buttons on the calculator labelled. Sin Cos Tan

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Ratios of Complementary Angles and Trigonometric Co-functions

Lesson 2 (Seah Shao Xuan, Tan Yong Yi, Vincent Chung, Quek Yong Jie) 3 rd May 2011. Ratios of Complementary Angles and Trigonometric Co-functions. Part 1. Recap. The adjacent , opposite and hypotenuse are the 3 different sides we can find on a right-angled triangle .

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Unit 6 Lesson 3 The Pythagorean Converse

Unit 6 Lesson 3 The Pythagorean Converse. CCSS. Lesson Goals. Apply the Pythagorean Converse to classify a triangle according to angle measure. G-SRT 4: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures .

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8-8

8-8. The Pythagorean Theorem. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 8-8. The Pythagorean Theorem. Course 2. Warm Up Estimate each square root to the nearest whole number. Use a calculator to check the reasonableness of your answers. 1. 2. 3. 4. ?18. 5. ?26.

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Warm Up For Exercises 1 and 2, find the value of x . Give your answer in simplest radical form.

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7.2 Pythagorean Theorem and Its Converse

7.2 Pythagorean Theorem and Its Converse. Chapter 7 Area. 7.2 Pythagorean Theorem. Theorem 7-4 Pythagorean Theorem a 2 + b 2 = c 2. *c is always the hypotenuse. c. a. b. Pythagorean Triples. Find the length of the hypotenuse of ? ABC. . 21. 20. Pythagorean Theorem.

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Law of Sines

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7.2 Converse of Pythagorean Theorem

7.2 Converse of Pythagorean Theorem. REMEMBER:. The hypotenuse of a triangle is the longest side. Theorems:. Theorem 7.2: Converse of the Pythagorean Theorem:

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The Two-body Equation of Motion

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KS3 Mathematics

KS3 Mathematics. S6 Constructing Triangles. Constructing a triangle given SAS. How could we construct a triangle given the lengths of two of its sides and the angle between them?. side. angle. side. The angle between the two sides is often called the included angle .

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Writing and Solving Equations

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4-6: Congruence in Right Triangles

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Pythagorean Triples

Pythagorean Triples. A set of three nonzero whole numbers a, b, and c such that a 2 +b 2 =c 2 . Common Pythagorean Triples are: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25 Other Pythagorean Triples are multiples of the common (example: 9, 12, 15).

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The Converse of the Pythagorean Theorem

The Converse of the Pythagorean Theorem . Observe the relationship between the measure of ? C and the squares of the lengths of the sides of ? ABC in the Sketchpad diagram In what type of triangle is c 2 = a 2 + b 2 In what type of triangle is c 2 < a 2 + b 2

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Right-Angled Triangle

SOHCAHTOA. Process. Label diagram. and write down. Hyp. Opp. S O H C A H T O A. To find a length or angle given either a length and an angle or two lengths. x o. Identify what you want to find. what you know. Adj. and use appropriate ratio. Right-Angled Triangle. (longest side).

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Honors Geometry Section 10.5 Law of Cosines

Honors Geometry Section 10.5 Law of Cosines. In section 10.4, we learned how to use the Law of Sines to solve a non-right triangle. The Law of Sines will not help us in the next problem however. Solve the triangle. Round to the nearest 1000 th as necessary .

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