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:

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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Updated on: 10-Oct-2022

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