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