Question

In a triangle ABC ,Z is the mid point of BC. If BX and CY are perpendicular to a line through A then prove that XZ=YZ​

Answer 1

Answer:

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, xyz Step-by-step explanation: