Three sides of a triangle measures 6 cm, 10 cm and x cm. The minimum integral value of x is :

5

We know that,

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

We have,

One side of triangle = 6 cm

Second side of triangle = 10 cm

 (10 - 6) < x < (10 + 6)

= 4 < x < 16

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

So, the minimum integral value = 5