Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
According to the properties of Rhombus diagonals of the rhombus bisects each other at 90°

In the rhombus PQRS
SO = OQ = 10 cm
PO= OR = 12cm
So in ΔPOQ
∠ POQ = 90°
⇒ PQ is hypotenuse
102 + 242 =PQ2
100 + 576 = PPQ2
676 = PQ2
26cm = PQ Ans
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