I know that there are two ways of solving problems in math: Analytically and Numerically.
When discussions like functions this distinction is clear to me. E.g. an analytical way to find the roots of a quadric function would be to use the quadratic formula while a numerical way to find the roots would be just trying so many numbers until you get the root ot using newtons method.
But what about problems of field other than analysis? For example when finding the length of an edge in a triangle we can do it exactly by e.g. using the phythagoran theorem or use approximations like drawing the triangle on paper. Would saying "I used the phythagoran to solve for this edge length analytically" be correct terminoligy wise?
If not what would be the word for it?