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Mathematics
Mathematics
Problem
Prove that the shortest distance between any two opposite edges of a tetrahedron formed by the planes
y
+
z
=
0
,
x
+
z
=
0
,
x
+
y
=
0
,
x
+
y
+
z
=
3
a
y + z = 0, x + z = 0, x + y = 0, x + y + z = \sqrt{3}a
y
+
z
=
0
,
x
+
z
=
0
,
x
+
y
=
0
,
x
+
y
+
z
=
3
a
is
2
a
\sqrt{2}a
2
a
.
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