# 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.

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