Final answer:
The triangle formed by the given points A (1,2), B (5,2), and C (5,12) on the x-axis is a scalene triangle. The correct answer is a) Scalene triangle.
Step-by-step explanation:
To determine the type of triangle formed by the points A (1,2), B (5,2), and C (5,12) on the x-axis, we need to analyze the lengths of the sides and the measures of the angles. In this case, since all three vertices have the same y-coordinate, the triangle is on the x-axis and the lengths of the sides can be determined by the difference in x-coordinates.
Triangle ABC has AB=4 units, AC=10 units, and BC=6 units. Since AB, AC, and BC all have different lengths, triangle ABC is a scalene triangle.
A scalene triangle is a type of geometric figure in Euclidean geometry. It's a specific classification of triangles based on the lengths of its sides.
A scalene triangle is characterized by having three unequal side lengths and three different internal angles. Unlike an equilateral triangle (where all sides are equal) or an isosceles triangle (which has at least two sides equal), a scalene triangle's sides and angles are all distinct from one another.