50 POINTS for the answers. Part A: Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.

Part B: Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do you get?

Part C: Now, take the square root of both sides of the equation from part B and write the resulting equation.

Part D: Is there any way for this equation to be true? How?

Part E: What does this show about the relationship between the two triangles?

Part F: Does this mean that triangle 1 is a right triangle? Why or why not?