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{{ printedBook.courseTrack.name }} {{ printedBook.name }} 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 | $x_{2}−x_{1}y_{2}−y_{1} $ | Slope |
---|---|---|---|

$LN$ | $(0,6),(4,-1)$ | $4−0-1−6 $ | $-47 $ |

$LM$ | $(0,6),(5,8)$ | $5−08−6 $ | $52 $ |