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AD is drawn from A perpendicular to BC in triangle ABC, with D on BC.
Which of these is the shortest segment from A to line BC?

Class 9Inequalities in a TriangleGeometry — Triangles
  • AAD
  • BAB
  • CAC
  • DBC

Step-by-Step Solution

The perpendicular distance from a point to a line is the shortest. AD is perpendicular to BC, so AD is shorter than any slant such as AB or AC.
Answer: A) AD

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