SOLUTION: Given that the area of a rhombus is 40cm² and that each side has a length of 15cm, find the angles of the Rhombus

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Question 1144413: Given that the area of a rhombus is 40cm² and that each side has a length of 15cm, find the angles of the Rhombus
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.
For each parallelogram, its area is the product of the lengths of any two its adjacent sides

by the sine of the angle between them


    Area = .


For a rhombus, this formula takes the form


    Area = ,


where "a" is the length of any side and  is any of the four angles of the rhombus.


Thus in our case


    40 = ,    =  = ,


and an acute angle of the rhombus is


     =  = arcsin(0.17778) = 0.17873 radians = 10.25 degrees (approximately).    ANSWER

Solved.

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See the lesson
    - Area of a parallelogram
in this site.


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