Right angle triangles

[Sameh soliman]

TL;DR Summary

If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

 

[mathman]

The side ratios are trig. functions of the angles. You can approximate angles using the power series of the inverse trig. functions.

 

[phyzguy]

Summary:: If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

I'm trying to understand the reason for your question. This is what trig functions do. Why do you want another way to calculate the angles? What's wrong with trig functions? It's kind of like asking "can I find the sum of two numbers without using addition?"

 

[mfb]

That's exactly what trigonometric functions do.
There are some special cases where you can use geometry to find the angles, e.g. 45/45 degrees or 30/60 degrees.

 

[sysprog]

Perhaps look at the etymology of 'trigonometry' $-$ 'tri - gono - metry' $\leftrightarrow$ 'three angle measurement' (or triangle measurement) $-$ exactly what you're seeking.