Question

which segment is adjacent to ∠r? answer overline{nr} overline{lr} overline{nl}

Explanation:

Step1: Recall the definition of adjacent side

In a right - triangle, for an angle, the adjacent side is the side that forms the angle (other than the hypotenuse).

Step2: Analyze the sides with respect to \(\angle R\)

• The hypotenuse is \(\overline{NR}\) (opposite the right - angle \(\angle L\)).
• For \(\angle R\), the sides are \(\overline{LR}\) and \(\overline{LN}\). The side \(\overline{LR}\) forms \(\angle R\) along with the hypotenuse \(\overline{NR}\). So, the side adjacent to \(\angle R\) is \(\overline{LR}\).

Answer:

\(\overline{LR}\)