On a coordinate grid, draw a triangle with vertices at $(2, 6), (2, 2),$ and $(5, 6)$.  

1. Find the lengths of each side of the triangle. What is the perimeter?

   More Help (a):

   To find the hypotenuse, we can use the Pythagorean theorem: $a^{2} + b^{2} = c^{2}$
   If the legs are $3$ and $4$, how long is the hypotenuse?
   After finding the hypotenuse, find the perimeter.

2. What type of triangle is formed by these points? Justify your answer.

   Hint (b):

   The triangle has a right angle so it is a right triangle.