The area of a rhombus is 24cm^2. If all its sides have integer length what is the greatest possible side length of the rhombus. Send with proper explanation.
Answer ranging from 0 to 9. But according to me answer is 24.
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hey mate !! here is your answer...
Step-by-step explanation:
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.
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