Question

# In the adjacent figure, we have $$BX = \dfrac {1}{2}AB, BY = \dfrac {1}{2}BC$$ and $$AB = BC$$. Show that $$BX = BY$$

Solution

## Given $$BX=\dfrac{1}{2}AB$$  and $$BY=\dfrac{1}{2}BC$$ and $$AB=BC$$$$BX=\dfrac{1}{2}AB=\dfrac{1}{2}BC=BY$$$$\Rightarrow BX=BY$$Hence proved.Mathematics

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