Question

In. Fiqure AB parallel PQ parallel CD, AB= x units. CD = y units and PQ = Z units, prove that 1/x+ 1//y= 1/z

Answer 1

Answer:

Step-by-step explanation:

ΔABD and ΔPQD are similar, as the corresponding sides are parallel.

     x / z = BD / QD   =>  1/x = QD /(z * BD)

ΔCDB and ΔPQB are similar, as corresponding sides are parallel.

    y / z = BD / BQ   =>  1/y = BQ / (z * BD)

Add the two equations: 

        1/x + 1/y = (BQ + QD) / (z * BD) = 1 / z