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Question Number 24684 by Tinkutara last updated on 24/Nov/17

$$\mathrm{Let}ABCD\mathrm{be}\mathrm{a}\mathrm{square}\mathrm{and}M,N\mathrm{points}$$$$\mathrm{on}\mathrm{sides}AB,BC\mathrm{respectably},\mathrm{such}\mathrm{that}$$$$\mathrm{\angle }MDN=45°.\mathrm{If}R\mathrm{is}\mathrm{the}\mathrm{midpoint}\mathrm{of}$$$$MN\mathrm{show}\mathrm{that}RP=RQ\mathrm{where}P,Q$$$$\mathrm{are}\mathrm{the}\mathrm{points}\mathrm{of}\mathrm{intersection}\mathrm{of}AC\mathrm{with}$$$$\mathrm{the}\mathrm{lines}MD,ND.$$

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