Answer:
the missing length CA is 7x - 4.
Explanation:
The perimeter of a triangle is the sum of the lengths of its sides. In this case, we are given that the perimeter of triangle ABC is 12x - 5, and we know the lengths of two sides, AB and BC. We can use this information to find the length of the third side, CA.
Perimeter of triangle ABC = AB + BC + CA
Substituting the given values, we get:
12x - 5 = (2x + 3) + (3x - 4) + CA
Simplifying the right-hand side, we get:
12x - 5 = 5x - 1 + CA
Adding 1 and subtracting 5x from both sides, we get:
CA = 7x - 4
Therefore, the missing length CA is 7x - 4.