SOLUTION: The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm².Find the length of the longer diagonal

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Question 1090152: The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and the area is 21cm².Find the length of the longer diagonal
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
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Sole the two right triangles,
D%5E2=3%5E2%2BY%5E2
and
%282D%29%5E2=3%5E2%2B%287%2BY%29%5E2
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I used a graphical method. Look for the two positive solutions.
D=6.626
So the long diagonal would be,
2D=13.252

Answer by ikleyn(52803) About Me  (Show Source):
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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 21cm².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.