The lengths of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions is the third side of this triangle? (5 points)

Question

10 inches

11 inches

8 inches

9 inches

Answer 1

The third side must be greater than the difference of the other two sides but less than the sum of the other two sides in order for it to form a triangle.

So, the third side must be greater than $14-4=10$ inches and less than $14+4=18$ inches.

Therefore, the only option that falls within this range is 11 inches.

So, the third side of the triangle is 11 inches.