Question

A triangle can be constructed with sides ______.

Options

• 3 cm, 4 cm, 7 cm

• 5 cm, 5 cm, 10 cm

• 4.5 cm, 6 cm, 7.5 cm

• 3.5 cm, 4.5 cm, 8.5 cm

Answer 1

A triangle can be constructed with sides 4.5 cm, 6 cm, 7.5 cm.

Explanation:

To determine if a triangle can be formed with three given side lengths, we apply the triangle inequality theorem, which states:

The sum of any two sides must be greater than the third side.

Let’s test the option:

4.5 + 6 = 10.5 > 7.5

4.5 + 7.5 = 12 > 6

6 + 7.5 = 13.5 > 4.5

All conditions are satisfied.