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Question

In the adjacent figure, we have $$BX = \dfrac {1}{2}AB, BY = \dfrac {1}{2}BC$$ and $$AB = BC$$. Show that $$BX = BY$$
569715_afa344ae4e954533b26aa369918816fa.png


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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