Posted by **eddie** on Thursday, January 27, 2011 at 9:25pm.

the diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle?

- geometry -
**Reiny**, Thursday, January 27, 2011 at 9:31pm
The diagonals bisect each other, so each segment is 4 units

If they form a 60° angle, then it must be an equilateral triangle and the width of the rectangle is 4 units

let the base be b

b^2 + 4^2 = 8^2

b^2 = 64-16 = 48

b = √48 = 4√3

rectangle is 4√3 by 4

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