Question

In the adjacent figure, DATE is a rectangle whose diagonals
intersect at O. IfOA= 3x and OD=2x +5 (in cm), find the length of the diagonals
the answer would be 30cm plzz​

Answer 1

Answer: 30 cm

Step-by-step explanation:

Since in a rectangle, the diagonals are equal (property of rectangles),

hence,

    OD= OA

=> 2x+5=3x

=> 5= 3x-2x

=> x= 5

FOR THE LENGTH OF DIAGONAL OD ,

OD = 2x+5 = 2*5 + 5 = 10+5= 15 cm

        hence, DT= 2*15 = 30 cm

SAME GOES FOR THE OTHER DIAGONAL,

i.e. OA= 3x

           = 3* 5

           = 15 cm

hence, AE= 2* 15 cm

                = 30 cm

HENCE PROVED.

HOPE THIS HELPED.