Question

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

Answer 1

Answer:

26 cm

Step-by-step explanation:

Let the diagonals of rhombus intersect at point 'O'.

We know that Diagonals in a rhombus bisect each other and are perpendicular to each other,

Hence PO = OR

QO = OS.

But given PR = 20 cm

=> PO = 10 cm

Given QS = 48 cm

=> QO = 24 cm.

∠POQ = 90°.

POQ is a right angled triangle

=> PQ² = PO² + OQ²

=> PQ² = 10² + 24²

=> PQ² = 26²

=> PQ = 26 cm.