Determine if triangle xyz with coordinates x (1, 1), y (5, 6), and z (6, 2) is a right triangle. use evidence to support your claim. if it is not a right triangle, what changes can be made to make it a right triangle? be specific.

We will use the formula for distance;

XY = 
Applying the same formula
YZ = 
XZ = 

XZ^2 + YZ^2 is not equal with XY^2 which means the triangle is not right.

In order to make the triangle right, we have to take X and Z on the same x-line which means Z will be (6, 1) and Z and Y to be on the same y-line which means Y will be (6, 6). The point will be:
X(1, 1)
Y(6, 6)
Z(6, 1)

XY = 
YZ = 
XZ = 

It means that: YZ^2+XZ^2=XY^2 and the triangle is right.