In the following figure, AB, CD and EF are perpendicular to the straight line BDF. If AB = x and, CD = z unit and EF = y unit, prove that: 1/x + 1/y = 1/z

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In the following figure, ABCD is a trapezium with AB || DC. If AB = 9 cm, DC = 18 cm, CF = 13.5 cm, AP = 6 cm and BE = 15 cm,
Calculate :
(i) EC (ii) AF (iii) PE