Question

The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is ______.

विकल्प

• 12 cm

• 13 cm

• 14 cm

• 17 cm

Answer 1

The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is 13 cm.

Explanation:

The diagonals of a rhombus bisect each other at right angles, so the half-lengths are `24/2 = 12` and `10/2 = 5`. 

Each side is the hypotenuse of a right triangle with legs 12 and 5, so side

= `sqrt(12^2 + 5^2)` 

= `sqrt(144 + 25)`

= `sqrt(169)`

= 13 cm