Question

in triangle ABC a point x is taken on ac and a point y is taken on bc if ay and bx meet at o find the area of triangle cxy if area of triangles oxa, oab and obx are x, y,z respectively

Answer 1

Answer:

Step-by-step explanation:

Let's take point Y on seg AC such that DY | | BX.

As D is a midpoint of BC, by converse of midpoint theorem, XY=YC.

Applying midpoint theorem in triangle CDY, BX=2DY.

As E is a midpoint of AD & EX | | DY, 

AX=XY.

Applying midpoint theorem in triangle DAY, EX= DY/2

BE/EX = BX-EX / EX 

           = 2DY - DY/2 / DY/2

            = 3DY / 2 * 2/YD

              = 3DY/DY

               = 3:1.

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