If one side of a triangle is given as 20 cm, then find the correct pair of other two sides to construct a unique triangle with SSS criterion.

7.5 cm & 4.5 cm

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7.5 cm & 12.5 cm

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15.5 cm & 4.5 cm

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15.5 cm & 12.5 cm

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Solution

The correct option is D 15.5 cm & 12.5 cm
To construct a unique triangle with the three sides given, sum of any two sides must be greater than the third side.

Hence,
Options a, b and c are incorrect because the sum of the two sides mentioned is not greater than 20 cm.

Therefore, option d is correct where sum of two sides is greater than the third side

15.5 cm + 12.5 cm > 20 cm,
15.5 cm + 20 cm > 12.5 cm, and
12.5 cm + 20 cm > 15.5 cm.

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Similar questions

Statement 1: It is possible to construct a unique triangle when the measurements of two sides and non-included angle are given.

Statement 2: It is possible to construct a triangle when the measurements of two sides and included angle are given.

Choose the correct option.

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