Double Length
Geometry
Level
2
In a right triangle with integer side lengths, is it possible to have one side being the half of another?
No
Yes
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1 solution
Possible ratios of the sides in a right angled triangle are (shortest: middle: longest): 1 : 2 : 5 and 1 : 3 : 2 .
As both possible ratios have an irrational number in it, it is not possible for all the sides to have integer lengths.
Thus, the answer is No .