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AB,BC and CA are three wires of same cross section and are joined to form a triangle . Resistance of the three sides are a,b and c respectively.Another wire of resistance d is taken from A and can be connected at any point on BC.Prove that maximum resistance of the network is (a+b+c)*d/(a+b+c+4*d).

AB,BC and CA are three wires of same cross section and are joined to form a triangle . Resistance of the three sides are a,b and c respectively.Another wire of resistance d is taken from A and can be connected at any point on BC.Prove that maximum resistance of the network is (a+b+c)*d/(a+b+c+4*d).

Grade:12

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