In a triangle ABC, X and Y are the points on AB and BC respectively. If BX = $\frac{1}{2}$AB and BY = $\frac{1}{2}$BC and AB = BC, show that BY = BX.
Given:
X and Y are the points on AB and BC.
BX = $\frac{1}{2}$AB
BY = $\frac{1}{2}$BC
To do: Here we have to show that BY = BX.
Solution:
![](/assets/questions/media/117459-24967-1603546045.png)
According to the given information:
BX = $\frac{1}{2}$AB
BY = $\frac{1}{2}$BC
Now,
AB = BC
$\frac{1}{2}$AB = $\frac{1}{2}$BC
BX = BY
So, it is proved that BY = BX.
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