Information about Law of Sines ppt

Law of Sines

Right Triangle Acute Triangle Obtuse Triangle

TriangleSolved three sides three angles

Right Triangle

B B B B a Acute TriangleObtuse Triangle Oblique Triangles

Oblique Triangle

How then do we solve oblique triangles?

Case II: Given two angles and the included side between them (ASA) Case I: Given two angles and a side opposite one of them (AAS) Case III: Given two sides and an angle opposite one of them Case IV: Given two sides and the included angle between them Case v: Given three sides

Case I. Given two angles and a side opposite to one of them. (AAS) Given: A = 48° C = 102° c = 25cm Unknown : B , a, c A C B a=?b =? c= 25 cm 48° 102° ?

Case I. Given two angles and a side opposite to one of them. (AAS) Given: A = 63° C = 79° a= 12 in Unknown : B , b, c In ▲ABC, A = 63°, B = 79°, and a = 12 in. Find the length s of the other two sides and the measure of the third angle, C. BA C a =12 inb =? c= ? 63° 79° ?

Given: A = 75° C = 85° b = 10 cm Unknown : B , a, c Case II. Given two angles and the included side between them. (ASA) A B c = ? b=10 cm a =? C 85° 75° ?

Given: A = 59° C = 49° b = 13 cm Unknown : B , a, c Case II. Given two angles and the included side between them. (ASA) A B c = ? b=13 cm a =? C 59° 49° ?

is a triangle which does not contain a right angle. Oblique Triangle

Case I: Given two angles and a side opposite one of them (AAS)

Case II: Given two angles and the included side between them (ASA)

Case III: Given two sides and an angle opposite one of them

Assignment: Answer Exercises 6.2 p. 167.

Title: The Laws of SINES Author: HCPS Last modified by: Margaret Hughes Created Date: 2/20/2003 7:08:05 PM Document presentation format: On-screen Show

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Law of Cosines Lesson 4.2 * Who's Law Is It, Anyway? Murphy's Law: Anything that can possibly go wrong, will go wrong (at the worst possible moment).

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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 ...

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Oblique Triangles Oblique Triangle – a non-right triangle. It may be acute. It may be obtuse. We will label all our triangles the same way.

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