The diagonals of a rhombus are 48 cm and 20 cm long. Find the perimeter of the rhombus.
Given:
Length of diagonal 1 (d1) = 48cm
Length of diagonal 2 (d2) = 20 cm
Side of rhombus = 1/2 × √(d12 + d22 )
= 1/2 × √(482 + 202 )
= 1/2 × √(2304 + 400)
= 1/2 × √2704
= 1/2 × 52
= 26 cm
Therefore,
Perimeter of rhombus = 4 × Side of rhombus
= 4 × 26 cm
= 104 cm