- side, cir****radius R , {\displaystyle R,}
inradius r , {\displaystyle r,}
exradii r a , r b , r c {\displaystyle r_{a},r_{b},r_{c}}
tangent to a , b , c...
- {\displaystyle c} ,
semiperimeter s {\displaystyle s} , area T {\displaystyle T} ,
exradii r a {\displaystyle r_{a}} , r b {\displaystyle r_{b}} , r c {\displaystyle...
- the
distance from an
arbitrary point to
another point, the inradius, the
exradii, the cir****radius, and/or
other quantities.
Unless otherwise specified...
- An
acute triangle (or acute-angled triangle) is a
triangle with
three acute angles (less than 90°). An
obtuse triangle (or obtuse-angled triangle) is a...
- {C}=&1&:&1&:&-1\end{array}}} The
radii of the
excircles are
called the
exradii. The
exradius of the
excircle opposite A {\displaystyle A} (so touching...
-
Heronian triangle, the
three altitudes, the cir****radius, the
inradius and
exradii, and the
sines and
cosines of the
three angles are also all
rational numbers...
-
parametrizations given above at #Heronian
triangles with
integer inradius and
exradii.: Thm. 5 An
automedian triangle is one
whose medians are in the same proportions...
- A=abcd{\textstyle A=abcd} and an
inradius r=abc/d{\textstyle r=abc/d}. The
exradii will be:- rx=bcd/a{\textstyle r_{x}=bcd/a} ry=acd/b{\textstyle r_{y}=acd/b}...
- {1}{h_{2}}}+{\frac {1}{h_{4}}}.}
Another similar characterization concerns the
exradii ra, rb, rc, and rd in the same four
triangles (the four
excircles are each...