WOLFRAM|DEMONSTRATIONS PROJECT

The Product of the Side Lengths of a Triangle

​
show R
AB
≈
6.99
BC
≈
5.43
AC
≈
7.80
R
≈
4.01
area(ABC)
≈
18.47
AB
×
BC
×
AC
≈
295.93
4
R
×
area(ABC)
≈
295.93
Let the circumradius of a triangle ABC be R. Then
AB×BC×AC=4Rarea(ABC)
.