Apply the triangle in quality serum to determine which sides with length of 4 inches, 8” and 9 inches from each triangle

Answer 1

To apply the triangle inequality theorem, we need to check if the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Let's analyze the three sides given: 4 inches, 8 inches, and 9 inches.

1. Comparing 4 inches and 8 inches:
Sum of 4 inches + 8 inches = 12 inches
Since 12 inches is greater than 9 inches, this condition is satisfied.

2. Comparing 4 inches and 9 inches:
Sum of 4 inches + 9 inches = 13 inches
Since 13 inches is greater than 8 inches, this condition is satisfied.

3. Comparing 8 inches and 9 inches:
Sum of 8 inches + 9 inches = 17 inches
Since 17 inches is greater than 4 inches, this condition is satisfied.

By applying the triangle inequality theorem, we can conclude that a triangle can be formed using sides of lengths 4 inches, 8 inches, and 9 inches.