Question

In a right angle triangle XYZ, <Y= 90° and A is the mid point of the side XZ. Prove that AY=AX=1/2 XZ​

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.