Monday, December 11, 2006

6.5 The Ambiguous Case

SSA (side-side-angle) is called the ambiguous case.
When given the information, side, side, and angle, consecutively, there are two possible triangles that m eet the specifications.

The TWO different answers can be found:

1. swinging in the side without the fixed angle.
A triangle with sides 50, 80, and angle of 26 degrees can be either:











Well, how do you find both measurements?
LAW OF COSINES!!!








Then in order to find the corresponding angles, you'd use the LAW OF SINES, and go on from there.

2. mismatched angle and corresponding side
Solve for a.



This is an impossible triangle, because the measure of side 4 can only go far as the corresponding side of a 75 degree angle and a "5" adjacent side.




3. draw a triangle with perpendicular sides (to find how many solutions/triangles are possible with the given SSA information)



















*Also, it's helpful to know your basic cos and sin angles (ie. sin30), because Mr. French can always throw in a problem with basic angles in the non-calculator portion.


Practice problem:














***OKAY so these pictures I uploaded look quite funkadelic and you can barely see the equations... so if you click the picture, you should be able to see a clear version of it. Sorry.


Here's a helpful link: yay for ambiguous cases!
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2001/Mealor/EMAT%206700/law%20of%20sines/Law%20of%20Sines%20ambiguous%20case/lawofsinesambiguouscase.html

Christmas is almost here!!!
http://www.marthastewart.com/page.jhtml?type=learn-cat&id=cat20754&rsc=SC287206
Here on Martha Stewart Living, you can do a bunch of stuff... like cook holiday stuff... make crafts haha, etc. The most important thing is the pretty food, though. Have fun.

JOEY, YOU ARE UP NEXT!!

1 Comments:

At 3:27 PM, Blogger navjit said...

Thanks for added help on this section. Now I fully understand the ambiguous case right before the midterm. The additional diagrams helped a lot.

 

Post a Comment

<< Home