Question

Three sides of a triangle measure 6 cm, 10 cm and x cm. The minimum integral value of x is:
1. 1
2. 2
3. 3
4. 5

Answer 1

Correct Answer - Option 4 : 5

Given:

one side of triangle = 6 cm

second side of triangle = 10 cm

concept used:

the difference of two other sides < x < sum of two other side

calculation:

(10 - 6) < x < (10 + 6)

⇒ 4 < x < 16

the third side of the triangle should lie between 4 and 16

∴ minimum integral value is 5 and maximum integral value is 15

Hence, the answer is 5 cm