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Question Number 181625 by Shrinava last updated on 27/Nov/22

$$\mathrm{K}-{\mathrm{Lemoine}}^{\prime }\mathrm{s},\mathrm{I}-\mathrm{incenter}\mathrm{in}△\mathrm{ABC}.$$$$\mathrm{Prove}\mathrm{that}:$$$${\mathrm{KA}}^4+{\mathrm{KB}}^4+{\mathrm{KC}}^4⩾{\mathrm{IA}}^4+{\mathrm{IB}}^4+{\mathrm{IC}}^4$$

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