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.
*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)
2BX = 2BY
According to Euclid’s axiom, things which are double of same things are equal to one another.
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In the given figure, it is given that AC=BD,
Prove that AB=CD.
RS Aggarwal & V Aggarwal - Mathematics