Question

In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that PT < QT

Answer 1

In ΔPQR,
PQ = QR = PR
⇒ ∠P = Q = ∠ = 60°
In ΔPQT,
∠PQT < 60°
∴  ∠PQT < ∠P
∴  PT < QT.