Yes, sine, cosine, tangent definitions are based on right triangles
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you need to have at least 2 values of the lengths of the triangle and then you can find the angle by sine, cosine or tangent formulas you may try this online calculator for right triangles. http://www.rillocenter.com/calculate/trigonometry.html
if you have any two sides, you can calculate either of the (non right angle) angles. if you have a (non right angle) angle and one side, you can calculate any other side. you will need either tables, or a scientific calculator with sin / cosine / tangent function
Only when its an equilateral triangle then it is a regular polygon
Algebra is basically arithmetic with variable expressions, trigonometry comes after algebra because you need algebra to understand sine, cosine, tangent, as well as secant, cosecant, and cotangent.
Assuming you mean perimeter (not pirimeter) and triangle (traingle) you need to sum together the lengths of the three sides.