The lengths of the diagonals of a rhombus are 24cm and 10cm. The length of each side of the rhombus is (a) 12cm (b) 13cm (c) 14cm (d) 17cm
The lengths of the diagonals of a rhombus are 24cm and 10cm. The length of each side of the rhombus is (a) 12cm (b) 13cm (c) 14cm (d) 17cm

Correct Answer: (b) 13 cm

Explanation:

 

 

 

Let ABCD be the rhombus with diagonals AC and BD intersecting each other at O.

AC = 24 cm

BD = 10 cm

Diagonals of a rhombus bisect each other at right angles.

Applying Pythagoras theorem in right-angled triangle AOB,

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

=> 122 + 52

=> 144 + 25

=> 169

???????? = √169 => 13

Hence, the length of each side of the rhombus is 13 cm.