Question

New Fundamentals of Mathemates-ICSE 718 31. 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 1

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.