Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

Solution:

In a triangle, we know that the sum of two sides is greater than the third side

The length of sides given are 9 cm, 7 cm and 17 cm

We know that

9 + 7 = 16 cm < 17 cm

Here the sum of two sides is less than the third side

Therefore, it is not possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm.

✦ Try This: Is it possible to construct a triangle with lengths of its sides as 10 cm, 8 cm and 18 cm? Give reason for your answer.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7

NCERT Exemplar Class 9 Maths Exercise 7.2 Problem 11

Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer

Summary:

No, it is not possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm as the sum of two sides is not greater than the third side

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