Question

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of rhombus is ______.

विकल्प

• 8 cm

• 9 cm

• 11 cm

• 10 cm

Answer 1

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of rhombus is 10 cm.

Explanation:

The diagonals of a rhombus bisect each other at right angles.

So, the half-diagonals are 8 cm and 6 cm.

These form the legs of a right triangle with the side of the rhombus as the hypotenuse.

By Pythagoras,

Side = `sqrt(8^2 + 6^2)`

= `sqrt(64 + 36)`

= `sqrt(100)`

= 10 cm