Can the sides of a triangle be in the ratio 1 : 2 : 3?

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Solution

Ratio of the sides of the triangle = 1:2:3

We know that in a triangle, sum of the lengths of any two sides should be greater than the length of the third side.

Let the length of the first, second and third side be x units, 2x units and 3x units respectively.

Length of the first side + Length of the second side = x units + 2x units

= 3x units

= Length of the third side

Thus, the sides of a triangle can never be in the ratio 1:2:3.

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