Ancient legend tells of Side Side Angle being ambiguous, and oh god. yeah it is. The reason behind this is seriously just how you can solve a triangle with this theorem in a couple different ways so it can give you the same answer. Because, math is rad(?)!
You can't apply the law of sines because that would be too easy and you're an idiot for ever thinking of that. But in all seriousness, it's because the law of sines can't do the same thing as you have two sides and an angle, but its a different side and angle that you can use the SSA equation.
"How well do you know me?" If a family member asked me a question about this, would I:
A) tell them to ask someone else
B) stare intently at them in complete silence.
C) Roll my eyes, scoff and then leave
D) Tell them how I feel like it could be the same as SAS but some hipster math god was like "Aw naw, that's too easy, your dumb for thinking that" But in actuality I would explain it by showing an example because it's easier to show than to explain. But in SSA you can multiple triangles rather than just one. Normally you have to break the triangles into 2 in order to solve them.
(#the answer is all the above)
You can't apply the law of sines because that would be too easy and you're an idiot for ever thinking of that. But in all seriousness, it's because the law of sines can't do the same thing as you have two sides and an angle, but its a different side and angle that you can use the SSA equation.
"How well do you know me?" If a family member asked me a question about this, would I:
A) tell them to ask someone else
B) stare intently at them in complete silence.
C) Roll my eyes, scoff and then leave
D) Tell them how I feel like it could be the same as SAS but some hipster math god was like "Aw naw, that's too easy, your dumb for thinking that" But in actuality I would explain it by showing an example because it's easier to show than to explain. But in SSA you can multiple triangles rather than just one. Normally you have to break the triangles into 2 in order to solve them.
(#the answer is all the above)