Let a, b, and c be the sides of a triangle.
Let p be perimeter of the triangle.
Let r be the radius of the largest circle that can be inscribed in the triangle, and let R be the radius of the circle through the vertices of the triangle.
Then all six numbers can be related in one equation:
2prR = abc.
Dr Cook,
Thanks love the way we can use there together. But, am I missing something? The equation appears to be off by a factor of 2.
Should be 4prR = abc
Perhaps you’re thinking of the equation in the form 4srR = abc where s is the semiperimeter, s = p/2.