Question

Find the value of AB if AB = 2x - 6, AC = 16, and BC = 2x – 14. a) AB = 8 b) AB = 10 c) AB = 12 d) AB = 14

Answer 1

The value of AB cannot be determined from the given information.

Step-by-step explanation:

To find the value of AB, we can use the fact that the sum of the lengths of two sides of a triangle is greater than the length of the third side. In this case, AB + AC > BC. Substituting the given values, we have (2x - 6) + 16 > 2x – 14. Simplifying, we get 2x + 10 > 2x – 14.

Subtracting 2x from both sides gives us 10 > -14. This is always true, so the inequality holds for all values of x. Therefore, there is no specific value for AB that can be determined from the given information. The correct answer is e) Cannot be determined.

Learn more about Triangle Inequality