Describe a case in which ASA/AAS, SSS, & SSA triangles would have no solution.

Question

anonymous · Answer

Solving Triangles, PreCalc

anonymous · Answer

I don't understand the question.

katrinakaif · Answer

No solution?

apoorvk · Answer

me neither.

anonymous · Answer

Yes. So basically I have to describe a case/triangle in which there is no solution. In other words, when would a triangle in each case have no solution?

anonymous · Answer

Under what circumstance?

anonymous · Answer

What does triangles have to do with solutions?

katrinakaif · Answer

What are you solving for? :/

apoorvk · Answer

ASA
SAS
AAS
SSS


These are names for congruencies. Criteria for two triangles to be congruent.

Now what in the whole-holy-hell would 'no solution' for a triangle mean here?

anonymous · Answer

@apoorvk @FoolForMath In what case would the triangle have a no solution... Im solving to find angles and sides - all of them - for a respective triangle

anonymous · Answer

Could you give one example?

anonymous · Answer

Like say for triangle ABC, Im given an angle and two sides. In what case would this triangle have no solution?

apoorvk · Answer

What does no solution for a triangle mean?



Seem I got ittt!!! wait a min please. You mean conditions for which a triangle exists right?

anonymous · Answer

Yes

anonymous · Answer

In what case could the triangle not exist?

apoorvk · Answer

okay. SSS case says that sum of any two sides must be greater than the third. always.
so, 2,3,6 can be one such triplet which cannot satisfy the side-lengths of a triangle.

let me think about the others.

apoorvk · Answer

SAS hmm. that means constraints for two sides and an angle included in it. Now I can't see constraint for that except when the angle is 0degrees or 180degrees ('cause then it just takes the form of a straight line. |dw:1334647647521:dw| 
Eg. 3,4,180 degrees cannot be.


AAS. side included within two angles. now here the two angles must not sum up equal to more than 180 degrees and less than 360 degrees, other wise they would never meet to form the triangle's third vertex, and so the triangle. something like this: |dw:1334647538345:dw|
Example.- 4, 100degrees, and 110degrees.


hope that should clear things up a bit. :)