Question:
In the adjoining figure, if BX = ½ AB, BY = ½ BC and AB = BC, then show that BX = BY.
Thinking Process
Apply the Euclid’s axiom, things which are double of the same things are equal to one another.
Solution:
Given, BX = ½AB =>2 BX = AB ,..(i)
BY = ½BC
=» 2 BY = BC …(ii)
and AB = BC …(iii)
On putting the values from Eqs. (i) and (ii) in Eq. (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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