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 a2 + b2, you can think of the two equations for c2 and n2 as a system of equations. Substitute what a2 + b2 equals in the first equation for a2 + b2 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?