Question

In the following ∆ XYZ, N is the mid-point of XY. Name the median and the altitude of ∆ XYZ. Also, can we say that XM = YM? Justify your answer.​

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=

2

1

XZ=

2

1

XY (since XY=XZ)

or MN=MX=MY.