Question

The website below states: "As with ellipses, there is a relationship between a, b, and c, and, as with ellipses, the computations are long and painful. So trust me that, for hyperbolas (where a < c), the relationship is c2 – a2 = b2 or, which means the same thing, c2 = b2 + a2." (http://www.purplemath.com/modules/hyperbola.htm)
I was able to figure out how to prove the relationship with ellipses simply, but I can not figure out how to prove the relationship with hyperbolas. Please help me prove this relationship! Thanks in advance!

Answer 1

If you would like to know how I proved the relationship with ellipses simply to help me understand how to prove the relationship with hyperbolas, please ask!

Answer 2

@ganeshie8

Answer 3

@Hero

Answer 4

@Nurali

Answer 5

Please help ...wwwwwwwww

Answer 6

@thomaster