DESCRIBE IN WORDS what you would calculate and how you would determine whether the triangle with vertices A (2,1), B (5,3), and C (0,4) is isosceles, equilateral, or scalene. Do NOT do the calculations!

Answer 1

To determine whether the triangle with vertices A (2,1), B (5,3), and C (0,4) is isosceles, equilateral, or scalene, I would calculate the lengths of all three sides of the triangle. Based on the lengths obtained, I would compare them to each other.

If all three sides have the same length, then the triangle would be equilateral. This means that all three vertices are equidistant from each other.

If only two sides have the same length, while the third side has a different length, then the triangle would be isosceles. This means that two vertices are equidistant from each other, but the third one is not.

If all three sides have different lengths, then the triangle would be scalene. This means that no two vertices are equidistant from each other.