No, trigonometry can be used with any triangle, right angle or not.
While the primary trigonometric functions are defined in relation to right triangles with hypoteneuse equal to 1, that is just a special case where the function is easier to define. Sine (theta), for instance, is opposite over hypotenuse, where the angle on the other end of adjacent is a right angle. Even if you don't have a right angle, the functions can help you find a superposition of a right triangle on any triangle, and that can help you solve many different kinds of problems.
The laws of sines and cosines, for instance, apply to any triangle.
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No it can only be used with right angle triangles.
Trigonometry functions are used to work out the various properties of triangles.
-It was made by Pythagoreas, but was discovered earlier in Asian countries, esp. China -It only has to do with right angle triangles -It leads into trig functions and is the basis of trigonometry -It is used commonly nowadays -People earlier used this to prove that not all numbers are rational!
Similar triangles can be used in many situations in which angles of two differently-sized triangles are the same. Optics, scale modeling,trigonometry, surveying, astronomy, and many, many other applications of mathematics rely on the concept of similarity.
The same as it is now : measurement of angles and the lengths of the sides of triangular shapes. More complex shapes ha to be broken down into triangles.