Q. 53.8( 20 Votes )

# Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.

Answer :

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

By Pythagoras theorem,10^{2} + 24^{2} =PQ^{2}

100 + 576 = PPQ^{2}

676 = PQ^{2}

26cm = PQ Ans

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