Euler's triangle formula

[mathius1]

Hi all

I have a question concerning Euler's triangle formula, where the distance (d) between the incenter and circumcenter of a triangle is given as d2 = R(R-2r), with R being the circumradius and r the inradius. I suck at algebra and I need to know how to solve this if I only know the distance (d) and nothing else. How do I compute R and r from just the distance?

Many thanks
Nigel

[Martin Rattigan]

You don't. You're not going to get two values out of one. (Think of an equilateral triangle of arbitrary size for instance.)

[mathius1]

You don't. You're not going to get two values out of one. (Think of an equilateral triangle of arbitrary size for instance.)

Hi Martin

Thanks for the reply, I suspected that would be the case but wanted to make sure!

Cheers
Nigel