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If the quadrilateral is a rectangle, the diagonal forms the hypotenuse of a right triangle with either pair of adjacent sides. Such a right triangle follows the Pythagorean theorem that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. Calculation shows that the square root of the sum of the squares of the two sides is about 31.06449. Therefore, given the significant digits of the specified sides, the quadrilateral may be a rectangle, because the exact answer reduced to two significant digits is 31. If the sides were specified as 17.0000 and 26.0000, the figure would not be a strict rectangle, but would be very close to one.

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Q: A quadrilateral has a width of 17cm and a length 26cm a diognal is 31cm is the quadrilateral a rectangle?
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