SOLUTION: The side of a rhombus is equal in length to that of the shorter diagonal. If the longer diagonal is 12cm, find its area
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Question 424930: The side of a rhombus is equal in length to that of the shorter diagonal. If the longer diagonal is 12cm, find its area Answer by Gogonati(855) (Show Source):
You can put this solution on YOUR website! Solution:As we know rhombus diagonals are perpendicular and bisect each other.
Base on the given data the shorter diagonal is equal to the side of rhombus that means it divide the rhombus on two equilateral triangles.
Denote x cm the side of rhombus and use the Pythagorean theorem to find it:
=>
, is the length of shorter diagonal.
Since the area of rhombus is equal to the half of diagonals product we have:
