Question

take the square root of both sides of the equation from part B ( n↑2−c↑2=0 ) and write the resulting equation. how can this equation be true, and what does this show about the relationship between the two triangles?

Answer 1

SOLUTION

From the question and the instructions given,

Since

$\begin{gathered} n^2-c^2=0 \\ square\text{ rooting both sides } \\ \sqrt{n^2}-\sqrt{c^2}=\sqrt{0} \\ square\text{ cancels square root, we have} \\ n-c=0 \end{gathered}$

Thus, the triangles have all sides congruent, since the triangles are congruent.

Hence, this means that triangle 1 is a right triangle.