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In the adjace...

Question

In the adjacent figure, we have $B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C$ and $A B = B C$ . Show that $B X = B Y$

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Solution

Given $B X = \frac{1}{2} A B$ and $B Y = \frac{1}{2} B C$ and $A B = B C$
$B X = \frac{1}{2} A B = \frac{1}{2} B C = B Y$
$\Rightarrow B X = B Y$
Hence proved.

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