Question

ABCD is a rhombus and it's area is x^2/2 and side is x find the longer diagonal

Answer 1

Step-by-step explanation:

In a rhombus, diagonals are perpendicular to each other and bisect each other.

∴BO=OD=12cm

∴y=12cm

and

CO=OA=5cm

∴x=5cm

Since BC

2

=CO

2

+BO

2

, by substituting values we get:

BC

2

=(12)

2

+(5)

2

⇒BC=

169

⇒BC=13cm

Since all sides are equal, BC=CD

∴z=13cm

Hence, the value of x is 5cm and the value of z is 13cm.