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In A XYZ, M is the mid-point of YZ. MP and MQ are perpendiculars to XY and XZ respectively. If XY = XZ, prove that ) PM = QM, and (ii) XP = XQ M Fig. 7.71 B
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Since M and N are the mid-points of XY and YZ respectively,
therefore by midpoint theorem,
MN is parallel to XZ and MN=21XZ=21XY (since XY=XZ)
or MN=MX=MY.
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