The cosine of an angle is the ratio of the adjacent side to the hypotenuse
only when the angle is in a right triangle. (Otherwise, how would you know
which side is the "hypotenuse" ?)
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I quote " The square on the hypotenuse of a rightangled triangle..."
You can't use SSA or ASS as a postulate because it doesn't determine that the triangles are congruent; right triangles are most likely determined by HL: hypotenuse leg- genius!
Trigonometry is helpful in many fields of geometry and a few of them are:- It helps to identify different types of triangles It helps to work out the sides and interior angles of triangles It helps to work out the properties of polygons It helps to work out the properties of a right angle triangle with Pythagoras' theorem It helps with navigating and working out distances
Yes. Heron's Formula works on all triangles.
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.