Question

(06.01 MC) 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. (10 points)

Answer 1

Answer:

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.

Step-by-step explanation:

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