Question

PQR is a triangle in which PQ = PR. S is any point on on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT

Answer 1

Since PQ = PR
and ST is parallet to QR
Therefore by Side Angle Side congruence
ΔPQR ~ΔPST
hence PS=PT

Answer 2

Answer:

In ∆ PQR , we have,

Step-by-step explanation:

PQ = PR

<R= <Q

Now, ST||QR

<PST = < PQR and <PTS = < PRQ { corresponding angles are equal}

<PST = < Q and <PTS= < R

<PST = < PTS

PT = PS. proved