SOLUTION: the larger angle of a rhombus is twice the smaller angle of the rhombus. If the shorter diagonal is 20, what is the perimeter of the rhombus?

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Question 1063529: the larger angle of a rhombus is twice the smaller angle of the rhombus. If the shorter diagonal is 20, what is the perimeter of the rhombus?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The angles of this rhombus are 60° and 120°, which is obvious.

Hence, the shorter diagonal divides it in two equilateral triangles with the side length of 20 units each.

Then the perimeter of the given rhombus is 80 units.

On properties of rhombis, see the lessons
    - Diagonals of a rhombus are perpendicular
    - Diagonals of a rhombus bisect its angles
    - HOW TO solve problems on the rhombus sides and diagonals measures - Examples
in this site.