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)

10 inches

11 inches

8 inches

9 inches

1 answer

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.