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in Mathematics by (63.8k points)

Find the area of a rhombus one side of which measures 20 cm and 01 diagonal 24 cm.

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Let other diagonal = 2x cm.

Since diagonals of a rhombus bisect each other at right angles, we have: 

(20)2 = (12)2 + (x)2 = (20)2 – (12)2= 256=  16 cm. 

So, other diagonal = 32 cm. 

Area of rhombus = (1/2) x (Product of diagonals) = ((1/2)x 24 x 32) cm2 = 384 cm2 

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