Question

In the given figure :
if ∠PQS = 60°,
show that PQ = PS = QS = SR.

Answer 1

In ΔPQS,
∠PQS = 60°, ∠QPS = 60° and ∠QSP = 60°
⇒ ΔPQS is an equilateral triangle
⇒ PQ = QS = PS
And, PS = SR
⇒ PQ = PS = QS = SR.