How do you find the angles of a triangle with only the side measurements without using the law of cosine?

Question

I'm not sure because our teacher wants us to do it only using tangents. I know it can be done, but I don't know how. I definetely know it's using a line from the top point of a triangle to the bottom that's perpendicular to the bottom line, but does anyone know the rest?

Answer 1

If you drop a perpendicular from the apex of the triangle you end up with a right triangle. Then all you have to do is find the length of the perpendicular (with the Pythagorean Theorem) and use the definition of tangent to solve for the angle.

Answer 2

the form is the suitable regulation of the land. Any community could have what ever regulation they desire as long because it does not conflict with the form. i think of a few of sharia regulation might conflict with it nevertheless