BQ#1:Unit P Concepts 1 & 4: The Law of Sines AAS/ASA & Area of an Oblique Triangle

Law Of Sines AAS/ASA

1. We need the law of sines because sometimes we have to solve for triangles that are non right triangles. We can cut the triangle in half to form two triangles as shown in the picture below.

http://www.ck12.org/book/CK-12-PreCalculus-Concepts/r508/section/4.6/

and from the perpendicular line drawn from the two verticies we can find the other relationships as shown in the picture below. 

http://www.lhs.loganschools.org/~rweeks/trig/law_of_sines.jpg

Area Of An Oblique Triangle

The are of an oblique triangle is derived from A=1/2bh which is 1/2xBasexHeight. This relates to the area formula i am familiar with because we use sin of some angle for example sinB=h/a we multiply by "a" on both sides to get "h" alone and get h=1/2b(sinB) we substitute "h" for in the equation for "sinB" 

http://hotmath.com/hotmath_help/topics/law-of-sines.html

Resources

http://www.ck12.org/book/CK-12-PreCalculus-Concepts/r508/section/4.6/

http://hotmath.com/hotmath_help/topics/law-of-sines.html

http://www.lhs.loganschools.org/~rweeks/trig/law_of_sines.jpg