Question

Complete the inequality so that represents the whole number values that side a could be to create a triangulé c=7 b=6. a

Answer 1

To create a triangle with side lengths c=7, b=6, and a, we can use the triangle inequality theorem which states that the sum of any two sides of a triangle must be greater than the third side.

Applying this theorem to our given side lengths, we have:
a + b > c

Substituting the given values, we have:
a + 6 > 7

To find the whole number values that side a could be, we solve the inequality for a:
a > 7 - 6
a > 1

Therefore, the complete inequality representing the whole number values that side a could be is:
a > 1