LINR 3 | Lesson 4 | Explore 1 (Solutions)

Explore 1 Solutions

In coordinate geometry, triangles may be formed by the intersection of linear systems and linear inequalities.  Some mathematical relationships that can be determined given a shaded triangular region on a coordinate axes are given below:

  • The coordinates of the triangle vertices
  • The equations of lines creating the sides of the triangle
  • The linear inequalities that define the triangle’s perimeter and shaded region bound by these linear inequalities
  • The lengths of the sides of the triangle using of the vertices and the Pythagorean theorem
  • The type of the triangle (such as right, scalene, isosceles)
Return