Given below are the coordinates of the vertices of a triangle. find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. r(1, 3), s(3, 1), t(5, 2)

To find the length of the sides, we use the Pythagorean Theorem. First, let's look at the side RS. R is at (1,3), and S is at (3,1). Therefore, to find RS, we use the difference in height and length:
The length of side RS is square root 8.

Side ST is made from point S (3,1) and point T (5,2).

The length of side ST is root 5.

Side RT is between R (1,3) and T (5,2).

The side RT is root 17. The triangle is scalene, meaning it has three sides of different lengths.