The mid points of AB and AC of a ∆ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC − XY is:
ATQ, 
BC + XY = 24 ..........(1) Since XY = 1/2 of BC, = 1/2BC + BC = 24 = 3BC = 24 × 2 = 3BC = 48 = BC = 16 units From Eq. (1) we get, = 16 + XY = 24 = XY = 8 units Now accordingly, = BC - XY = 16 - 8 = 8 cm ∴ The value of BC - XY is 8cm
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