Question

In a rhombus the length of the diagonals are 16 cm, 30 cm.

∴ The length of its side is ______.

Options

• 34 cm

• 13 cm

• 15 cm

• 17 cm

Answer 1

In a rhombus the length of the diagonals are 16 cm, 30 cm.

∴ The length of its side is 17 cm.

Explanation:

A rhombus has diagonals of lengths 16 cm and 30 cm.

We need to find the length of its side.

In a rhombus, diagonals bisect each other at right angles.

So, each half of the diagonals forms the sides of a right-angled triangle.

Half of the diagonals: `16/2` = 8 cm, `30/2` = 15 cm

Apply Pythagoras theorem:

Side² = 8² + 15²

= 64 + 225

= 289

Take the square root:

Side = `sqrt289`

= 17 cm