Question

Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?

Options

• 4 cm

• 3 cm

• 5 cm

• 32 cm

Answer 1

5 cm

Explanation:

Let third side of the triangle be x cm.

Since, the sum of any two sides of a triangle is greater than the third side.

∴ 18 + x > 14, 14 + x > 18, 18 + 14 > x

⇒ x > –4, x > 4, 32 > x

Since, length can not be negative.

Thus, 4 < x < 32

Hence, third side of triangle can be 5 cm.