F. Viete theorem (aka cosine theorem) will prove that :
DL = √QR^2+RL^2-2*QR*RL*cos QR^L
DL = √QP^2+PL^2-2*QP*PL*cos QP^L
since QR = PL and RL = PQ , then cos QR^L = cos QP^L and, as a consequece, QR^L = QP^L
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