By using the triangular inequality, we will see that the smallest measure of the missing side is x = 6.
How to find the smallest possible measure of the third side?
By the triangular inequality, we know that the sum of any two sides of a triangle must be larger than the other side of the triangle.
In this case, we have a side that measures 6 units, a side that measures 1 unit, and a final side that measures x.
With the triangular inequality we can write:
6 + 1 > x
6 + x > 1
1 + x > 6
We can use these 3 equations to find the smallest value of x. If we use the last one, we can solve for x:
x > 6 - 1
x > 5
The smallest whole number that is a solution of the above inequality is x = 6 (which also is a solution of the first inequality).
So that is the correct answer.
If you want to learn more about triangles:
https://brainly.com/question/2217700
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