Question

The diagonals of a rhombus are 48 cm and 20 cm long. Find the perimeter of the rhombus.

Answer 1

Given: Diagonals d₁ = 48 cm, d₂ = 20 cm.

The diagonals of a rhombus bisect each other at right angles, so half-lengths are 24 cm and 10 cm.

Using Pythagoras on one half-triangle:

`AB = sqrt(24^2 + 10^2)`

= `sqrt(576 + 100)` 

= `sqrt(676)` 

= 26 cm

Therefore perimeter = 4 × 26

= 104 cm