Find the length of each side of a rhombus whose diagonals are 24cm and 10cm long.
Find the length of each side of a rhombus whose diagonals are 24cm and 10cm long.

 

 

 

Answer:

Let ABCD be the rhombus with diagonals meeting at O.

AC = 24 cm

BD = 10 cm

We know that the diagonals of a rhombus bisect each other at angles.

Applying Pythagoras theorem in right-angled AOB,

????????2 = ????????2 + ????????2

=> 122 + 52

????????2 = 144 + 25

=> 169

???????? = √169

=> 13 ????m

The length of each side of the rhombus is 13 cm.