Question

S and T are point on sides PR and QR of ΔPQR such that ∠P = ∠RTS. Show that ΔRPQ ∼ ΔRTS.

Answer 1

In ΔRPQ and ΔRST,

∠RPQ = ∠RTS      ...(Given)

∠R = ∠R            ...(Common angle)

∴ ΔRPQ ∼ ΔRTS      ...(By AA similarity criterion)