X is any point on AB and the median AD of triangle ABC meets XC at Y.Prove that XY/YC = AX/XB

221 Views Asked by At

X is any point on AB and the median AD of triangle ABC meets XC at Y.Prove that XY/YC = AX/XB.

1

There are 1 best solutions below

3
On

enter image description here

Let $XE||AD$. Then $$\frac{XY}{YC}=\frac{ED}{DC}=\frac{ED}{DB}=\frac{AX}{AB}\not =\frac{AX}{XB}$$