Answers

2015-05-10T11:38:17+05:30
GIVEN :-

⇒ ABCD is a Rhombus.

⇒Diagonals of Rhombus are AC and BD.

⇒ AO is perpendicular to BD.

TO PROVE ;-

⇒ Ar . of the rectangle = L x B = AC × BD = d1 x d2

PROOF ;-

The diagonals of the rhombus are the length and breadth of a rectangle, and therefore we can take this diagonals as the length and breadth of the rectangle.
 

So,

Area of rectangle = l  ×  b

                   

                                     Length of rectangle  =  d 1

                                     ⇒ Breadth of rectangle = d  2

⇒Therefore,

                           ⇒ Ar. of rectangle = l × b
     
                                                      =  AC × BD
               
                                                      = d1   × d2

Hence proved


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