Question

Which of the following set of sides will NOT form a triangle?
13 cm, 13 cm, 7 cm
6 cm, 8 cm, 10 cm
8 cm, 12 cm, 18 cm
13 cm, 5 cm, 7 cm​

Answer 1

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Which of the following set of sides will NOT form a triangle?

13 cm, 13 cm, 7 cm

6 cm, 8 cm, 10 cm

8 cm, 12 cm, 18 cm

13 cm, 5 cm, 7 cm

Sum of any two sides should be greater than the third side of the triangle. If the third side is greater than the sum of two sides, then those set of sides will form a triangle.

So, let's start!

1) 13 cm, 13 cm, 7 cm

13 cm + 7 cm = 20 cm

20 cm is greater than 13 cm , so this set of sides will form a triangle.

2) 6 cm , 8 cm , 10 cm

6 cm + 8 cm = 14 cm

14 cm is greater than 10 cm , so this set of sides will form a triangle.

3) 8 cm , 12 cm , 18 cm

8 cm + 12 cm = 20 cm

20 cm is greater than 18 cm , so this set of sides will form a triangle.

4) 13 cm , 5 cm , 7 cm

13 cm + 5 cm = 18 cm

18 cm is greater than 7 cm , so this set of sides will form a triangle.

Therefore, all the sets of sides can form a triangle.