SOLUTION: The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm�.Find the length of the longer diagonal

Question 1090152: The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm�.Find the length of the longer diagonal
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
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Sole the two right triangles,

and

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I used a graphical method. Look for the two positive solutions.

So the long diagonal would be,

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm�.Find the length of the longer diagonal
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The side of a rhombus CAN NOT BE HALF OF THE LONGER DIAGONAL.

                        NEVER.

It contradicts to the basic and elementary triangle side lengths inequality.

The condition is   fatally     W R O N G.

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