Use the image to answer the question. Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.

1 answer

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

From the image, we can see that side b is 3 units long and side c is 5 units long. To determine the possible values for side a, we need to consider the triangle inequality:
a + b > c
a + 3 > 5
a > 5 - 3
a > 2

Therefore, the inequality representing the whole-number values that side a could be to create a triangle is:
a > 2