which of these can never be ratio of the sides of the triangle
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These are not valid angles for a right angled triangle. The Ratio 1:3:6 can imply 15:45:90 as the angles. These are not valid angles for a right angled triangle. Thus you will see, the ratios 1:1:3 and 1:3:6, both are invalid and they can't be the ratio of angles in a right angled triangle
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