Do the points `(3,2),\ (-2,-3)\ a n d\ (2,3)` form a triangle? If so, name the type of triangle formed.

Explanation

To determine if the points \( A(3, 2) \), \( B(-2, -3) \), and \( C(2, 3) \) form a triangle and to identify the type of triangle, we will follow these steps:

### Step 1: Calculate the distances between the points

We will use the distance formula to find the lengths of the sides of the triangle formed by these points. The distance formula between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
...