SOLUTION: A rhombus has a side length equal to one of the diagonals.The other diagonal is 4c .Find the area of the rhombus.
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Question 1146602: A rhombus has a side length equal to one of the diagonals.The other diagonal is 4c .Find the area of the rhombus.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
If one of the diagonals is equal to the side length, then that diagonal divides the rhombus into two equilateral triangles.
The other diagonal of the rhombus is composed of the heights of the two equilateral triangles. Each of those heights has a length equal to sqrt(3)/2 times the side length; so the length of the other diagonal is sqrt(3) times the side length.
Then the area of a rhombus is half the product of the lengths of the diagonals.
You can put those pieces together, along with the given length of the longer diagonal, to finish the problem.
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