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:

Step1: Identify right triangle parts

$\triangle LNM$ is right-angled at $M$. Hypotenuse is opposite right angle.

Step2: Verify opposite sides

• Opposite $\angle L$: side not connected to $L$ is $\overline{NM}$.
• Opposite $\angle N$: side not connected to $N$ is $\overline{ML}$.

Step3: Confirm hypotenuse

Hypotenuse is side opposite right angle $\angle M$, so $\overline{LN}$.

Step4: Check adjacent sides

• Adjacent to $\angle L$: sides connected to $L$ are $\overline{ML}$ and $\overline{LN}$, not $\overline{NM}$.
• Adjacent to $\angle N$: sides connected to $N$ are $\overline{NM}$ and $\overline{LN}$, not $\overline{ML}$.

Answer:

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