SOLUTION: In a rectangle, the angle between diagonals is 60°. The sum of the lengths of both diagonals and both shorter sides of the rectangle is 36 in. What are the lengths of the diagonals

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Question 1073300: In a rectangle, the angle between diagonals is 60°. The sum of the lengths of both diagonals and both shorter sides of the rectangle is 36 in. What are the lengths of the diagonals?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Let ABCD be our rectangle and let O be the intersection point of its diagonals.

We are given that the angle (angles) AOD and BOC are of 60° each.

It implies that the triangle AOD is an equilateral triangle, as well as BOC is an equilateral triangle.


Should I continue from this point or everything is just clear to you ?


If you still have difficulties, let me know through the "Thank you" note.
Then I will help you (at no charge).


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Answer. The length of the diagonal is 12 inches.


Good luck and happy learning !



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