WOLFRAM|DEMONSTRATIONS PROJECT

The Square of a Median in Terms of the Triangle's Sides

​
AM
≈
12.68
AB
≈
15.31
BC
≈
14.15
AC
≈
13.69
2
2
AM
≈
321.64
2
AB
+
2
AC
-
1
2
2
BC
≈
321.64
Let ABC be a triangle and AM be a median (the line from A to the midpoint M of BC). Then
2
2
AM
=
2
AB
+
2
AC
-
1
2
2
BC
.