Question

PQR IS a triangle in which pq=pr .s is a point on the side pq.through s,a line is drawn parallel to qr intersecting pr at t.prove ps=pt

Answer 1

inΔ PQR ,
PQ =PR 

⇒∠PRQ = ∠PQR ------(1)
∠PQR = ∠PST ---------(2)
∠PRQ = ∠PTS ---------(3)

BUT ∠PQR = ∠PRQ , FRM (1) AND (2) WE GET ∠PST = ∠PTS

IN ΔPST ,WE HAVE 
∠PST = ∠PTS 
⇒PT = PS