Answer:
It is NOT a right triangle.
Step-by-step explanation:
You must figure out the slopes of the segments of the triangle to see if it is a right triangle. If they are perpendicular (meaning the slopes are negative reciprocals of each other), they form a right angle, making it a right triangle.
[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex] This formula finds slope using two points.
Let's figure out the slope of JK.
(-1-1)/(-5-0) = m
Simplify.
-2/-5 = m
A negative divided by a negative makes a positive.
2/5 = m
Now LK.
(-5-1)/(2-0) = m
Simplify.
-6/2 = m
Divide.
-3/1 = m
Now JL.
(-1+5)/(-5-2) = m
Simplify.
4/-3 = m
None of these slopes are negative reciprocals of each other, thus deeming it not a right triangle.
