Assertion: triangle's ratio | /r/HasProperty | rational
Facets:
Source sentences:
text: However, other definitions of the term "rational triangle" also exist: In 1914 Carmichael used the term in the sense that we today use the term Heronian triangle; Somos uses it to refer to triangles whose ratios of sides are rational; Conway and Guy define a rational triangle as one with rational sides and rational angles measured in degrees—in which case the only rational triangle is the rational-sided equilateral triangle.
text: The ratio of the inradius to the circumradius of an integer triangle is rational, equaling 4 T 2 s a b c {\displaystyle {\tfrac {4T^{2}}{sabc}}} for semiperimeter s and area T.