Law of Sines ppt

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Published on March 11, 2014

Author: GemmaYalung

Source: slideshare.net

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Law of Sines

Demonstration Teaching In Trigonometry

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.

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