The lengths of two diagonals of a rhombus are 12 cm and 16 cm. What is the side (in cm) of the rhombus?

The lengths of two diagonals of a rhombus are 12 cm and 16 cm. What is the side (in cm) of the rhombus? Correct Answer 10

Given:

The length of two diagonals of rhombus are 12 cm and 16 cm.

Formula used:

By Pythagoras theorem,

Perpendicular2 + Base2 = Hypotonus2

Calculation:

We know that, diagonals of a rhombus bisect each other at right angles.

It means, half of diagonals are 6 cm and 8 cm and these two sides are perpendicular to each other.

By Pythagoras theorem,

⇒ Perpendicular² + Base² = Hypotonus²

⇒ 6² + 8² = H²

⇒ H² = 100

⇒ H = Side = 10

∴ The side of rhombus is 10 cm.