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


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