add all of the sides together
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sin, tan and cos can be defined as functions of an angle. But they are not functions of a triangle - whether it is a right angled triangle or not.
There is no reason for the perimeter of a triangle to have any relation to the perimeter of an unrelated rectangle!
If you know the perimeter, there is no need to find it again.
You find the perimeter of a triangle by adding all the sides. There is no special rule for finding the perimeter.
A right triangle has one right angle and two acute angles. Right triangles have a hypotenuse and also two legs. You can use the Pythagorean Theorem to find the hypotenuse, or the two legs of the right triangle, as long as you have the side lengths of the other two sides on the right triangle.