SSC CPO 2024 PYQ — Question 105

The correct answer is option 4 i.e. 2.

For the line segments to form a triangle, the sum of the lengths of the two line segments should be greater than the third.

According to the given question,

Taking the line segments given in the question,

1. 2 cm, 5 cm and 7 cm

Here, 2 + 5 > 7   (not true)

2. 2 cm, 5 cm and 8 cm

Here, 2 + 5 > 8  (not true)

3. 2 cm, 7 cm and 8 cm

Here, 2 + 7 > 8  (true)

2 + 8 > 7  (true)

7 + 8 > 2  (true)

4. 5 cm, 7 cm and 8 cm

Here, 5 + 7 > 8  (true)

7 + 8 > 5  (true)

5 + 8 > 7  (true)

Hence the number of triangles that can be formed is 2.