SOLUTION: The diagonals of a rhombus are 12cm and 9cm long.calculate the length of one side of the rhombus.

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Question 1013431: The diagonals of a rhombus are 12cm and 9cm long.calculate the length of one side of the rhombus.
Found 2 solutions by MathLover1, addingup:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

all sides of a rhombus are equal in length.
the diagonals of the rhombus intersect at a degree angle.
the diagonals and the sides of the rhombus form four right triangles whose sides are:
one leg of these right triangles is equal to the length of the one diagonal
the other leg of these right triangles is equal to the length of the other diagonal
the hypothenuse is equal to the length of the side we are looking for
so, if side is , use Pythagoras theorem to find it using the length of the legs
one leg is long and the other leg is long
then







Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
12/2 = 6
9/2 = 4.5
6^2 = 36
4.5^2 = 20.25
36+20.25= 56.25
sqrt 56.25 = 7.5 is the length of each of two opposing parallel sides.
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