Assertion: triangle's circumradius | /r/HasProperty | rational
Facets:
Source sentences:
text: Every Heronian triangle has a rational circumradius (the radius of its circumscribed circle): For a general triangle the circumradius equals one-fourth the product of the sides divided by the area; in a Heronian triangle the sides and area are integers.
text: The product of the inradius and the circumradius of an integer triangle is rational, equaling a b c 2 ( a + b + c ) .