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,

102 + 242 =PQ2


100 + 576 = PPQ2


676 = PQ2


26cm = PQ Ans

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