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In a mombus PORS,the diagonals intersect...

In a mombus PORS,the diagonals intersect at o Given that `/_P=120^(@)` and `OP=3cm` .What is the side of the mombus?

A

4 cm

B

6 cm

C

`3 sqrt(3)` cm

D

Cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
b
(i) In a `30^(@) -60^(@)-90^(@)` triangle , the corresponding side are in the ratio `1: sqrt(3) :2`.
(ii) Find the angles of one of the `Delta ("les")` formed by the diagonals in the rhombus.
(iii) Use the concept of ratio of sides and ratio of angles and get side .Sides opposite to angles `30^(@)-60^(@)-90^(@)` will be in the ratio `1: sqrt(2) :2`.
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