Just the sides given, can you find the angle?

Geometry Level 4

In ABC,\triangle ABC, if

a4+b4+c4=2c2(a2+b2),a^4 + b^4 + c^4 = 2c^2\big(a^2 +b^2\big),

then the possible measure(s) of C\angle C could be __________.\text{\_\_\_\_\_\_\_\_\_\_}.


Details and Assumptions:

  • a,b,ca,b,c are the sides of ABC\triangle ABC opposite to A,B,C\angle A , \angle B, \angle C respectively.

  • C\angle C is measured in radians.

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