Question

In the diagram below, X is a whole number. What is the smallest possible value for X

Answer 1

Option D is correct: 9 units.

Explanation:

According to the triangle inequality theorem, we know that the sum of the lengths of any two sides of a given triangle, is greater than the length of the third side.

Therefore, we can say

`x+x>17`

`2x>17`

`x>8.5`

Now, the nearest whole number greater than 8.5 is 9 units.

Hence, option D is the correct answer.