Q19 of 97 Page 786

The area of a rhombus is 480 cm2 and the length of one of its diagonals is 20 cm. The length of each side of the rhombus is

Given:


Area of rhombus = 480 cm2


Length of diagonal 1 (d1) = 20 cm



Let, Length of diagonal 2 be d2


Area of rhombus = 1/2 × d1 × d2


⇒ 480 = 1/2 × 20 × d2



⇒ d2 = 48 cm


Now,


Side of rhombus = 1/2 × √(482 + 202)


= 1/2 × √(2304 + 400)


= 1/2 × √2704


= 1/2 × 52


= 26 cm

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