Question

AC = 14, AB = x + 10, and BC = x + 12. Find AB.
A) 5
B) 6
C) 29
D) 3

Answer 1

To find AB, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Step-by-step explanation:

To find AB, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Using this fact, we can set up the following equation:

AC + BC > AB

Substituting the given values:

14 + (x + 12) > x + 10

Simplifying the equation, we have:

26 + x > x + 10

Subtracting x from both sides:

26 > 10

Since this inequality holds true for any value of x, AB can be any value greater than 26. Therefore, the answer is not listed among the given options.