geometry

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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.

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