Question

The lengths of three segments are given. Which of these cannot be used to construct a triangle?

• A. 8 cm, 6 cm, 1 cm
• B. 5 cm, 3 cm, 4 cm
• C. 2 cm, 6 cm, 5 cm
• D. 7 cm, 4 cm, 5 cm

Answer 1

The correct option is A 8 cm, 6 cm, 1 cm

In a triangle, the sum of any two sides is always greater than the third side.​

In option (a), 6 cm + 1 cm = 7 cm​
Which is less than 8 cm​.
So, the line segments 8cm, 6 cm and 1 cm can't be used to construct a triangle.
For all the other measurements, the sum of any two sides is greater than the length of the third side.