# Call it Cosine version of Sine Rule?

Geometry Level 3

Suppose in $$\Delta ABC$$ with sides $$a,b,c$$, the following equation holds true.

$\dfrac{\cos A}{a} + k_1= \dfrac{\cos B}{b} +k_2 = \dfrac{\cos C}{c}+k_3 = \dfrac{a^2+b^2+c^2}{8}$

If $$abc=4$$ , evaluate $$k_1k_2k_3$$.

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