Q. 65.0( 4 Votes )

In the Fig.5.6, we have BX = 1/2 AB and BY = 1/2 BC and AB = BC. Show that BX = BY.


Answer :

*Note: Thinking process should be, things which are double of the same things are equal to one another.


Given, BX = and BY =


2BX = AB ….(i)


2BY = 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 same things are equal to one another.


BX =BY


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