Question

Consider △LNM. Which statements are true for triangle LNM? Check all that apply. The side opposite ∠L is NM. The side opposite ∠N is ML. The hypotenuse is NM. The hypotenuse is LN. The side adjacent ∠L is NM. The side adjacent ∠N is ML.

Answer 1

The following statements are true by definition:

The side opposite ∠L is NM.

The side opposite ∠N is ML.

The side opposite to the angle should not contain any letter of that side.

 

The following statements are not essentially true because we have no idea if triangle LNM is a right triangle (if it is, then we do not know what the hypotenuse is):

The hypotenuse is NM.

The hypotenuse is LN.

 

The following statements are not true:

The side adjacent ∠L is NM.

The side adjacent ∠N is ML.

They are not true because the side adjacent to an angle should have its letter on the side. For example, the side adjacent to ∠L should be LN or LM and for ∠N it should be NM or NL.

 

Answer 2

According the diagram given the correct statements are: The hypotenuse is LN; The side opposite $\rm \angle L$ is NM and The side opposite to $\rm \angle N$ is ML.

Given :

Triangle LNM.

Acccording to the given triangle (attached below):

• The base of the triangle LNM is LM.

• The perpendicular of the triangle LMN is NM.

• The hypotenuse of the triangle LMN is LN.

• The opposite side of $\rm \angle L$ is MN.

• The opposite side of $\rm \angle N$ is LM.

Therefore, the correct statements are: The hypotenuse is LN; The side opposite $\rm \angle L$ is NM and The side opposite to $\rm \angle N$ is ML.

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https://brainly.com/question/10652623