Question

Which of the following possibilities will form a triangle? Side = 15 cm, side = 6 cm, side = 8 cm Side = 15 cm, side = 6 cm, side = 9 cm Side = 16 cm, side = 9 cm, side = 6 cm Side = 16 cm, side = 9 cm, side = 8 cm

Answer 1

1) Side = 15 cm, side = 6 cm, side = 8 cm : NO, since there is one side that is  greater than the sum of the others, whereas it should SMALLER

2) Side = 15 cm, side = 6 cm, side = 9 cm : NO, since there is one side that is EQUAL to the sum of the others, whereas it should be smaller

3)Side = 16 cm, side = 9 cm, side = 6 cm :  NO, since there is one side that is GREATER than the sum of the others, whereas it should be smaller

4) Side = 16 cm, side = 9 cm, side = 8 cm : YES.

Answer 2

The last option is correct.

We need to check for forming a triangle from all the below-mentioned options.

The basic rule regarding the length of a triangle is that the sum of any two sides of the triangle is always greater than the third side.

1) Side = 15 cm, side = 6 cm, side = 8 cm:

No, since there is one side that is greater than the sum of the others, whereas it should be smaller.

2) Side = 15 cm, side = 6 cm, side = 9 cm:

No, since there is one side that is equal to the sum of the others, whereas it should be smaller.

3) Side = 16 cm, side = 9 cm, side = 6 cm:  

No, since there is one side that is greater than the sum of the others, whereas it should be smaller.

4) Side = 16 cm, side = 9 cm, side = 8 cm:

Yes. The above measures can formed the triangle.

Hence, the last option is correct.

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