a2 + b2 = c2 solve for c without using any numerical values for a, b and c

Question

using the Pythagorean theorem a2+ b2 = c2   solve for c without using any numerical value for a,b or c

 

my thoughts  c = the square root of  a2+ b2-2ab x cos C 

Answer 1

The Pythagorean Theorem refers to side lengths for a right triangle:

 

      c² = a² + b²

 

      c = ± √(a² + b²)

 

Now, since c is a side length, it is positive, so:

      c = √(a²+b²)