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Answered by PoisonRose
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Correct Question

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

Answer

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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