in the given figure, AB I pa l CD, AB -x units,CD -y units and PQ - tu

1.	in the given figure, AB I pa l CD, AB -x units,CD -y units and PQ - tunits, prove that
Answer» ΔABD andΔPQD are similar, as the corresponding sides are parallel. x/z = BD / QD => 1/x = QD /(z * BD) ΔCDB andΔPQB 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

in the given figure, AB I pa l CD, AB -x units,CD -y units and PQ - tunits, prove that

Answer»

ΔABD andΔPQD are similar, as the corresponding sides are parallel. x/z = BD / QD => 1/x = QD /(z * BD)

ΔCDB andΔPQB 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