Question

In ∆PQR, ∠Q = ∠R. Prove that the perpendiculars drawn from the mid-point of QR to PQ and PR are equal.

Answer 1

Step-by-step explanation:

In ΔPQR, we have

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