MATH
posted by Meli .
How do you find the value of a variable in a trianlge when it is split into two and only the hypotnuse and one side are given? Geometricmeans must be used.

What variable do you want to find the value of? Since you say it has a hypotenuse, it must be a right triangle, so it is easy to calculate the third side length. It is
c = sqrt (c^2  a^2) . Angles can be computed from arcsin a/c and arcsin b/c
What does splitting the triangle in two have to do with it? How is the splitting being done? 
It wouldn't necessarily be a right triangle, would it?

I meant to write
b = sqrt (c^2  a^2) 
The word "hypotenuse", which they use, only refers to right triangles.
Unless the "variable" and the way the triangle is "split" are defined, I can't make any sense out of this problem, and how they expect geometric means to be used.