Question

The diagonals of a rhombus are 48 cm and 100 cm. Find the length of one side of the rhombus​

Answer 1

Perimeter of rhombus of side a=4a

⇒4a=100

⇒a=25cm.

Let AC=48cm

As diagonals bisect each other in rhombus

⇒AO=24cm

By Pythagoras theorem in ΔAOD, AD² = AO² +OD²

⇒OD² = √(625−576)

= 49

=7cm