Question

a parallelogram PQRS, diagonals PR and SQ intersect at O. If SQ = 5 PR and = OP = 4.5 cm, find OS.

Answer 1

Given:

If SQ = 5 PR and = OP = 4.5 cm

To find:

The length of the OS.

Solution:

As we know that the diagonal of the parallelogram bisect each other at their intersection point.

So for the Diagonal PR

• PO = OR

And for the Diagonal SQ

• SO = OQ

We have given the side OP as 4.5 cm so the length of the Diagonal PR will

• 2×4.5 = 9cm

As we have:

• SQ = 5PR
• SQ = 5×9  
• SQ = 45cm

So the length of OS is SR/2

• OS = 45/2
• OS = 22.5

The  length of the OS is 22.5 cm