Let's draw the triangle.
We see that ∠N and ∠M are acute angles. Therefore, their are not right angles. To determine whether ∠L is a right angle, we will calculate the slopes of LN and LM. If these segments are perpendicular to each other, we know that the triangle is a right triangle.
Side | Points | x2−x1y2−y1 | Slope |
---|---|---|---|
LN | (0,6),(4,-1) | 4−0-1−6 | -47 |
LM | (0,6),(5,8) | 5−08−6 | 52 |