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In the adjoining figure, if BX = ½ AB, BY = ½ BC and AB = BC, then show that BX = BY. |
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Answer» According to the question, We have, BX = ½ AB and BY = ½ BC ⇒ 2BX = AB ….(i) ⇒ 2BY = BC ….(ii) It is also given that, AB = BC …(iii) Substituting the values from Eqs. (i) and (ii) in eq. (iii), we get, 2BX = 2BY Applying the Euclid’s axiom, “things which are double of same things are equal to one another”. BX = BY |
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