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Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.
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Solution
Given, BX = `1/2` AB
⇒ 2BX = AB ...(i)
BY = `1/2` BC
⇒ 2BY = BC ...(ii)
And AB = BC ...(iii)
On putting the values from equations (i) and (ii) in equation (iii), we get
2BX = 2BY
According to Euclid’s axiom, things which are double of the same things are equal to one another.
BX = BY
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