Prove that each of the four sides of a rhombus is of the same length.

Open in App

Solution

Given :
A rhombus ABCD such that AB = BC.
To prove :
$A B = B C = C D = D A$ .
Proof :
Since ABCD is a rhombus.
Therefore, ABCD is a parallelogram.
$⟹ A B = C D$ and $B C = A D$
But, $A B = B C$
Therefore, $A B = B C = C D = A D$
Hence, all the four sides of a rhombus are equal.

Suggest Corrections

Similar questions

prove that each of the four sides of a rhombus is of the same length

64 m

16 m

Prove that the circles described with four sides of a rhombus as diameters pass through the point of intersection of its diagonals.

Prove that the circles described on the four sides of a rhombus as diameter, pass through the point of intersection of its diagonals.

Join BYJU'S Learning Program