SOLUTION: The lengths of the diagonals of a rhombus are 18 cm and 24 cm. What is its perimeter and what is the distance between the parallel sides?

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Question 1074066: The lengths of the diagonals of a rhombus are 18 cm and 24 cm. What is its perimeter and what is the distance between the parallel sides?
Answer by ikleyn(52756) About Me  (Show Source):
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The side lenght of the rhombus is sqrt%28%2818%2F2%29%5E2+%2B+%2824%2F2%29%5E2%29 = 15 cm.


The perimeter is 4*15 = 60 cm.


The area of the rhombus is 4 times the area of the right triangle formed by halves of diagonals: S = 4%2A%281%2F2%29%2A9%2A12 = 216 cm^2.



The distance between the opposite sides of the rhombus is 216%2F15 cm.