# What are the dimensions of this triangle?

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We want to find the smallest, right-angled triangle for which holds:

The lengths of the sides are whole numbers.
The circumference is the square of a whole number.
The area is a whole number to the power of three.

To help you a bit: the length of the hypotenuse is 240.

What are the dimensions of this triangle?

posted Jun 30, 2014
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1. A sheet of A0 paper is a rectangle with an area of precisely one square meter. Its length (the long side) is twice its width.
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+1 vote

What should be the ratio of the dimensions of a rectangle such that when you take off of it a largest possible square you end up with a rectangle with the same aspect ratio as that of the original ?