Question

consider △lnm. which statements are true for triangle lnm? check all that apply. the side opposite ∠l is \\(\overline{nm}\\). the side opposite ∠n is \\(\overline{ml}\\). the hypotenuse is \\(\overline{nm}\\). the hypotenuse is \\(\overline{ln}\\). the side adjacent ∠l is \\(\overline{nm}\\). the side adjacent ∠n is \\(\overline{ml}\\).

Explanation:

1. For a triangle, the side opposite an angle does not share a vertex with the angle. For $\angle L$, the non-shared vertex is $M$, so the opposite side is $\overline{NM}$.
2. For $\angle N$, the non-shared vertex is $L$, so the opposite side is $\overline{ML}$.
3. In a right triangle, the hypotenuse is the side opposite the right angle. The right angle is at $M$, so the hypotenuse is $\overline{LN}$.
4. An adjacent side to an angle shares a vertex with the angle (and is not the hypotenuse for right angles). For $\angle L$, adjacent sides are $\overline{ML}$ and $\overline{LN}$, so $\overline{NM}$ is not adjacent.
5. For $\angle N$, adjacent sides are $\overline{NM}$ and $\overline{LN}$, so $\overline{ML}$ is not adjacent.

Answer:

• The side opposite $\angle L$ is $\overline{NM}$.
• The side opposite $\angle N$ is $\overline{ML}$.
• The hypotenuse is $\overline{LN}$.