Just the sides given, can you find the angle?
Geometry
Level
4
In a \(\Delta ABC \), if
\[a^4 + b^4 + c^4 = 2c^2(a^2 +b^2) \]
then the possible measure(s) of \(\angle C\) could be?
Details and Assumptions
\(a,b,c\) are the sides of \(\Delta ABC\) opposite to \(\angle A , \angle B, \angle C\) respectively.
\(\angle C\) is measured in radians.
by
Vishwak Srinivasan