Question

Find the vertices, measure of sides, and classify the triangle created by the lines y=-x+3, x=-5, and y=1.

a) Vertices: (-5,1), (-5,3), (-1,2); Side lengths: 2, 2, 4; Scalene triangle
b) Vertices: (-5,1), (-1,3), (-1,1); Side lengths: 2, 2, 2; Equilateral triangle
c) Vertices: (-5,3), (-5,1), (-1,2); Side lengths: 2, 2, 4; Isosceles triangle
d) Vertices: (-5,1), (-1,1), (-5,3); Side lengths: 4, 4, 2; Scalene triangle

Answer 1

The vertices of the triangle are (-5,1), (-5,3), and (-1,2). The lengths of the sides are 2, 2, and 4. The triangle is classified as a scalene triangle.

Step-by-step explanation:

The vertices of the triangle created by the lines y=-x+3, x=-5, and y=1 are (-5,1), (-5,3), and (-1,2).

The lengths of the sides of the triangle are 2, 2, and 4.

Based on the lengths of the sides, the triangle can be classified as a scalene triangle, since all the sides have different lengths.