Question

the coordinates of the vertices of the triangle LMN are L(2, 3) M(5 - 6) and N( 4, -1) name the type of the triangle​

Answer 1

The coordinates of the vertices of the triangle LMN are given, and using the distance formula, we can determine that the triangle is a scalene triangle.

Step-by-step explanation:

The coordinates of the vertices of the triangle LMN are: L(2, 3), M(5, -6), and N(4, -1).

To determine the type of the triangle, we can calculate the lengths of its sides. Using the distance formula, the length of LM is √((5-2)^2 + (-6-3)^2), the length of MN is √((4-5)^2 + (-1-(-6))^2), and the length of NL is √((2-4)^2 + (3-(-1))^2).

By comparing the lengths of the sides, we can see that all three sides are different, so the triangle is a scalene triangle.

Learn more about Triangle types