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trig: identify opposite / adjacent / hypoten question which segment is …

Question

trig: identify opposite / adjacent / hypoten
question
which segment is adjacent to \\( \angle z \\)?
answer
\\( \overline { l z } \\)
\\( \overline { c z } \\)
\\( \overline { c l } \\)

Explanation:

Step1: Recall the definition of adjacent side

In a right - triangle, for a given angle, the adjacent side is the non - hypotenuse side that forms the angle.

Step2: Analyze the sides relative to \(\angle Z\)

  • The hypotenuse is \(CZ\) (opposite the right - angle \(\angle L\)).
  • The side \(LZ\) forms the angle \(\angle Z\) along with the hypotenuse \(CZ\) and is not the opposite side (the opposite side to \(\angle Z\) is \(CL\)).

Answer:

\(\overline{LZ}\)