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consider \\( \\triangle lnm \\). which statements are true for triangle…

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} \\).

Explanation:

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).

Answer:

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 \(\overline{ML}\)