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.

In order to find this out we need to find the slopes of all those lines in question. Line XY, line YZ, and line XZ. If any 2 of those slopes are opposite reciprocals of each other, then those 2 lines are perpendicular and where perpendicular lines meet, a right angle is formed and this would, in fact, be a right triangle. So we need the slope formula to get the job done. The slope between X and Y first: . The slope of line XY is 5/4. Now for the slope of line YZ: . Finally we find the slope of line XZ: . None of the slopes are opposite reciprocals of each other so this is not a right triangle.