SOLUTION: The diagonal of a rectangle is 8cm and the diagonal makes a 45 degree angle with a side. Find the dimensions of the rectangle.

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Question 85449: The diagonal of a rectangle is 8cm and the diagonal makes a 45 degree angle with a side. Find the dimensions of the rectangle.
Found 2 solutions by scianci, stanbon:
Answer by scianci(186) About Me  (Show Source):
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Since the diagonal makes a 45-degree angle with the side, the diagonal divides the rectangle into two 45-45-90 triangles, so the rectangle is a square. The dimensions will be equal and each side length is 8%2Fsqrt%282%29 = 4%2Asqrt%282%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a rectangle is 8cm and the diagonal makes a 45 degree angle with a side. Find the dimensions of the rectangle.
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If it makes a 45 degree angle with the side the rectangle is a square.
If the diagonal is 8 and the sides are respectively "x", by Pythagoras
you get x^2 + x^2 = 8^2
2x^2 = 64
x^2 = 32
x = 4sqrt2
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Cheers,
Stan H.