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.