Final answer:
To find angle A in triangle ABC with sides AB = 5 and AC = 14, more information is needed. If ABC is a right triangle with A as the right angle, then angle A is 90 degrees. Otherwise, we cannot determine angle A without additional details such as the length of side BC or knowledge of other angles.
Step-by-step explanation:
The question seems to have a typo, referring to triangle AABC, which would suggest that it has two vertices labeled A. However, in discussing the angle at a single vertex A, we can proceed by considering triangle ABC. To find the measure of angle A in triangle ABC when given the lengths of sides AB and AC as 5 and 14, respectively, additional information is required. Without knowing the length of the third side BC or any other angles or properties of the triangle (right angle, isosceles, etc.), it is not possible to determine the measure of angle A uniquely.
In certain situations like a right-angled triangle or when the triangle's type is specified, trigonometric functions like sin, cos, or tan can be utilized to find the measure of an angle when side lengths are known.
For example, if we do know that ABC is a right triangle and angle A is the right angle, then AC would be the hypotenuse, and angle A would be 90 degrees. On another hand, if we know that the triangle is not a right triangle, we would need additional information like the length of side BC or another angle to calculate angle A.