Q) If AD and PM are medians of triangle ABC and PQR, respectively where Δ ABC ~ Δ PQR, prove that AB / PQ = AD / PM.
Given that, Δ ABC ~ Δ PQR, therefore
Since AD is median of BC, hence BC = 2BD
Similarly, PM is median of QR, hence QR = 2QM
and ∠ B = ∠ Q (given that Δ ABC ~ Δ PQR)
Δ ABD ~ Δ PQM (by SAS similarity)