QUESTION IMAGE
Question
consider \\( \triangle lnm \\).
which statements are true for triangle lnm? check all that apply.
\\( \square \\) the side opposite \\( \angle l \\) is \\( \overline{nm} \\).
\\( \square \\) the side opposite \\( \angle n \\) is \\( \overline{ml} \\).
\\( \square \\) the hypotenuse is \\( \overline{nm} \\).
\\( \square \\) the hypotenuse is \\( \overline{ln} \\).
\\( \square \\) the side adjacent \\( \angle l \\) is \\( \overline{nm} \\).
\\( \square \\) the side adjacent \\( \angle n \\) is \\( \overline{ml} \\).
Step1: Analyze side opposite to ∠L
In \(\triangle LNM\), the side opposite \(\angle L\) is \(NM\). Because in a triangle, the side opposite an angle is the one that does not form the angle.
Step2: Analyze side opposite to ∠N
The side opposite \(\angle N\) is \(ML\). Using the same logic as above.
Step3: Analyze hypotenuse
In a right - triangle (\(\angle M = 90^{\circ}\)), the hypotenuse is the side opposite the right angle. The hypotenuse is \(LN\) (not \(NM\)).
Step4: Analyze side adjacent to ∠L
The side adjacent to \(\angle L\) is \(ML\) (not \(NM\)). Adjacent side forms the angle along with the hypotenuse.
Step5: Analyze side adjacent to ∠N
The side adjacent to \(\angle N\) is \(ML\). Since in \(\angle N\), the sides forming the angle are \(MN\) and \(LN\), and the non - hypotenuse non - opposite side (for the purpose of adjacent in a right - triangle context) among the two non - hypotenuse sides is \(ML\) (if we consider the angle - side relationships in a right - triangle).
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The side opposite \(\angle L\) is \(\overline{NM}\), The side opposite \(\angle N\) is \(\overline{ML}\), The hypotenuse is \(\overline{LN}\), The side adjacent \(\angle N\) is \(\overline{ML}\)