# geometry

posted by .

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

• geometry -

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

• geometry -

The diagonals of a rectangle are 16 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle.

## Similar Questions

1. ### Geometry

The diagonals of rectangle ABCD are AC and BD. Hallie found that the distances from the point where the diagonals intersects to each vertex were the same. Which of the following conjectures could she make?
2. ### Geometry

The diagonals of a rectangle are 12 inches long and intersect at an angle of 60 degrees. Find the perimeter of the rectangle.
3. ### geometry

the diagonals of a rectangle are 12 inches long and intersect at an angle of 60 degrees. find the perimeter of the rectangle. please help :)
4. ### geometry

the diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. find the dimensions of the rectangle
5. ### Geometry

The diagonal of a rectangle are 24 inches long intersect at an angle of 60°.Find the perimeter of the rectangle.Pls help me.
6. ### Geometry

The diagonal of a rectangle are 24 inches long intersect at an angle of 60°.Find the perimeter of the rectangle.Pls help me.
7. ### Geometry

The diagonal of a rectangle are 24 inches long intersect at an angle of 60°.Find the perimeter of the rectangle.Pls help me.
8. ### Geometry

The diagonal of a rectangle are 24 inches long intersect at an angle of 60°.Find the perimeter of the rectangle.Pls help me.
9. ### Geometry

The diagonal of a rectangle are 24 inches long intersect at an angle of 60°.Find the perimeter of the rectangle.Pls help me.
10. ### math

the diagonals of a rectangle are 25cm long and intersect at an angle of 32 degrees. Find the length of the sides of the rectangle.

More Similar Questions