Question

The two sides of a triangle are 2 and 7. What is the smallest and largest possible values of the third side of the triangle, if given that all sides of the triangle are integers.

Answer 1

To find the possible values of the third side of the triangle we can use the formula: Difference of two sides < Unknown side < Sum of the two sides

7 - 2 < x < 7 + 2

5 < x <9

There could be any value for the third side between 5 and 9.

Given that sides are integers,

So smallest possible value = 6 and largest = 8.