'Oblique triangle' diaporamas de présentation

The Ambiguous Case of the Law of Sines

The Ambiguous Case of the Law of Sines. This is the SSA case of an oblique triangle. SSA means you are given two sides and the angle opposite one of them ( a , b , and A ). . First, consider the case where A is an acute angle . b. A. Here are ?A and side b of fixed lengths .

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B. Triangles and Angles

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Oblique Triangles

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How Far to Where?

How Far to Where?. Ambiguous Map Problem (application of the Ambiguous Case of the Law of Sines). Students should have done some work with the Ambiguous Case of the Law of Sines before doing this project. Review of Ambiguous Case of the Law of Sines. To solve a right triangle, you can

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9.4 The Law of Cosines

9.4 The Law of Cosines. Objective To use the law of cosines to find unknown parts of a triangle. Data Required for Solving Oblique Triangles. Case 1 One side and two angles known: SAA or ASA Case 2 Two sides and one angle not included between the sides known: SSA

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6.1 Laws of Sines

6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle. Oblique triangle is a triangle that contains no right angle. . The Laws of Sines. Using the Law of Sines. Given: How do you find angle B?. Using the Law of Sines. Given: How do you find side b?.

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7.1 The Sines Law

Determining if the Law of Sines Can Be Used to Solve an Oblique Triangle Using the Law of Sines to Solve the SAA Case or ASA Case Using the Law of Sines to Solve the SSA Case Using the Law of Sines to Solve Applied Problems Involving Oblique Triangles. 7.1 The Sines Law.

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Warm UP!

Z. Warm UP!. 5. 3. Y. Solve for all missing angles and sides:. x. What formulas did you use to solve the triangle?. Pythagorean theorem SOHCAHTOA All angles add up to 180 o in a triangle. This is an oblique triangle. An oblique triangle is any non-right triangle.

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Theorems On Circles (MCQ)

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Toothpicks and PowerPoint

Toothpicks and PowerPoint. Ambiguous Case of the Law of Sines. Pam Burke Potosi High School #1 Trojan Drive Potosi, MO 63664 573-438-2156 pburke@potosir3.org pamburke74@gmail.com . To solve a right triangle, you can use the Pythagorean Theorem and/or basic trig ratios. A. c. b.

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Trigonometry: Section 5.6 The Law of Sines

Trigonometry: Section 5.6 The Law of Sines. Objectives of this Section Solve SAA or ASA Triangles Solve SSA Triangles Solve Applied Problems. All angles are acute. Two acute angles, one obtuse angle. If none of the angles of a triangle is a right angle, the triangle is called oblique.

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Law of Cosines

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Notes Over 8.1

Notes Over 8.1. Solving Oblique Triangles. To solve an oblique triangle , you need to be given one side, and at least two other parts (sides or angles). 4 cases for oblique triangles. 1. Two angles and any side (AAS or ASA). C. 2. Two sides and an angle opposite one of them (SSA). a. b.

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WARM UP

WARM UP. 1. Find the area of a triangle with sides 102 cm, 36 cm and 110 cm. Lesson 20 -Advanced Problems. Objective: To solve any problem involving a triangle. Solving Advanced Problems. Read the problem carefully. Draw a diagram Is it a right triangle? SOHCAHTOA Inverse functions

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Pre-calculus lesson 6.1 Law of Sines

Pre-calculus lesson 6.1 Law of Sines. Spring 2011. Question! How to measure the depth?. http://www.mcs.uvawise.edu/dbl5h/resources/latex_examples/files/triglawsines.pdf. At the end of this lesson you should be able to. Use the Law of Sines to solve oblique triangles (AAS or ASA).

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Law of S ines and Law of Cosines

Law of S ines and Law of Cosines. Objectives: Use the Law of Sines and Cosines to solve oblique triangles. Oblique Triangles. Triangles that have no right angles. As standard notation, the angles of a triangle are labeled A, B, and C and their opposite sides are labeled a, b, and c.

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Warm-Up: May 20, 2013

Warm-Up: May 20, 2013. Think back to geometry. Write down the ways to prove that two triangles are congruent. The Law of Sines. Section 6.1. The Law of Sines. For a triangle with angle measures A, B, C and side lengths opposite those angles of a, b, c:

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Sections 10.1-10.2 Law of Cosines and Law of Sines

Sections 10.1-10.2 Law of Cosines and Law of Sines. ONLINE STOP WATCH. REVIEW JEOPARDY RULES. ONE PERSON WILL ANSWER THE QUESTION FOR EACH GROUP ANSWERS SHOULD BE TO THE TENTHS DECIMAL PLACE. GROUPS CANNOT WHISPER ANSWERS TO THIER PERSON OR HELP THEM IN ANY WAY

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ET 6.2 Law of Cosines

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The Law of Sines

The Law of Sines. Solve SAA or ASA Triangles Solve SSA Triangles Solve Applied Problems. Triangles. An oblique triangle is a triangle that does not have a right angle. It can have either three acute angles or two acute angles and one obtuse angle

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