Question

If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be ______.

Options

• 3 cm

• 4 cm

• 2 cm

• 6 cm

Answer 1

If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be 6 cm.

Explanation:

We know that,

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

So, 6 cm + 10 cm > 3^rd side

3^rd side < 16 cm

The difference between the lengths of any two sides of a triangle is always smaller than the length of the third side.

So, 10 – 6 < 3^rd side

3^rd side > 4 cm

Therefore, 6 cm is the length of the 3^rd side.