Quantcast Law of sines

Share on Google+Share on FacebookShare on LinkedInShare on TwitterShare on DiggShare on Stumble Upon
Custom Search
 
  

LAW OF SINES

The law of sines provides a direct approach to the solution of oblique triangles, avoiding the necessity of subdividing into right triangles. Let the triangle in figure 19-21 (A) represent any oblique triangle with all of its angles acute.

The labels used in figure 19-21 are standardized. The small letter a is used for the side opposite angle A; small b is opposite angle B; small c is opposite angle C.

Figure 19-20.-(A) Oblique triangle with all angles acute; (B) obtuse triangle.

Figure 19-21.-(A) Acute oblique triangle with standard labels; (B) obtuse triangle with standard labels.

The law of sines states that in any triangle, whether it is acute as in figure 19-21 (A) or obtuse as in figure 19-21 (B), the following is true: 

 EXAMPLE: In figure 19-21 (A), let angle A-be 15 and let angle C be 85. If BC is 20 units, find the length of AB.

SOLUTION: By the law of sines,




Privacy Statement - Copyright Information. - Contact Us

comments powered by Disqus

Integrated Publishing, Inc.
9438 US Hwy 19N #311 Port Richey, FL 34668

Phone For Parts Inquiries: (727) 755-3260
Google +