Question

Area of a rhombus is 100 cm². If one of the diagonal is twice the other, find the length of the
side of the rhombus.
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Answer 1

Answer:

Let ABCD be the rhombus where AC = 10 cm and BD = 24 cm.

Let AC and BD intersect each other at O. Now, diagonals of rhombus bisect each other at right angles. Thus, we have.

Since AOB is a right angled triangle, by pythagoras theorem, we have.

Hence, AB = 13. Thus, length of each side of rhombus is 13 cm.