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given: l, m, n are midpoints altitude to \\overline{bc} segment as segm…

Question

given:
l, m, n are midpoints
altitude to \overline{bc}
segment as
segment bt
segment am

Explanation:

Step1: Recall the definition of altitude

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

Step2: Analyze each segment

  • Segment \(AS\): \(AS\perp BC\) (given the right - angle symbol at \(S\)), so it is the altitude from \(A\) to \(BC\).
  • Segment \(BT\): \(BT\) is not perpendicular to \(BC\).
  • Segment \(AM\): \(AM\) is a median (since \(M\) is a mid - point), not an altitude.

Answer:

segment \(AS\)