State if each triangle is a right triangle.

Answer:
Yes.
Step-by-step explanation:
To find if a triangle is a right triangle or not, we use the Pythagorean theorem. The Pythagorean theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex].
a and b are the triangle legs. The c is the hypotenuse of the triangle.
Now, to find if a triangle is a right triangle, we plug in 9 for a and b and 9root2 for c.
[tex]9^{2} + 9^{2} = (9\sqrt{2})^{2}[/tex]
81 + 81 = 81 * 2
162 = 162
So the given triangle, is indeed a right triangle.