The length of the diagonals of a rhombus are 24 cm and 10 cm find the

1.	The length of the diagonals of a rhombus are 24 cm and 10 cm find the side of a
Answer» Let ABCD be the rhombus where AC = 10 cm and BD = 24 cm.Let AC and BD intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.Thus, we haveAO = 1/2 AC = 1/2 (10) = 5 cm andBO = 1/2 BD = 1/2 (24) = 12 cmSince AOB is a right angled triangle, by Pythagoras theorem, we haveAB2 = AO2 + BO2AB2 = 52 + 122 = 25 + 144 = 169Hence, AB = 13Thus, length of each side of rhombus is 13 cm.

Discussion