Question

bx and cy are perpendiculars to a line passing through the vertex a of triangle abc and z is the mid point of bc.prove that xz=yz

Answer 1

From the diagram attached, since bx and cy are perpendiculars to a line passing through the vertex a, it follows that xy is parallel to bc
Again, from the diagram, bx = cy

Angle xbz = angle ycz = 90 degrees

Since z is the mid-point of bc, it follows that bz = zc

From the forgoing, triangle xbz is congruent to triangle ycz (SSS)

Therefore, xz=yz

Answer 2

Step-by-step explanation:

c the attachment

hence proved that Xz = Yz