Question

The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.

Answer 1

We have, 

ABCD is a rhombus 

AC and BD are the diagonals with length 10cm and 24 cm respectively. 

We know that rhombus of diagonal bisects each other at 90º

∴ AO = OC = 5cm and BO = OD = 12cm 

In ΔAOB 

AB² = AO² + BO² 

AB² = 5² + 12² 

AB² = 25 + 144 

AB² = 169 

AB = \(\sqrt{169}\)

AB = 13 cm