LINR 3 | Lesson 4 | Supplement 2

Right Triangle Ideas to Consider

For this problem, you need to find two lines who intersect \(y=2x-6\) and intersect each other at \((1,4)\) in such a way that two of the lines are perpendicular. If you are struggling to get started, try graphing the givens.

You are encouraged to

  • identify all three vertices,
  • prove that two of the lines are perpendicular.
  • use the pythagorean theorem as necessary to find the height, lengths of sides, perimeter, and area.
  • use systems of inequalities to identify the triangle and its area.
  • give both algebraic and graphic explanations.
Return