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Arjun says: 'In triangle ABC, I drew AD to BC. AD is perpendicular to BC and also BD = DC.'
What can you conclude about triangle ABC from Arjun's drawing?

Class 7Medians and AltitudesTriangles
  • AAB = AC (it is isosceles with AD as both median and altitude)
  • BAngle A must be 90°
  • CBC is the longest side
  • DThe triangle must be equilateral

Step-by-Step Solution

If a single segment is both the median and the altitude from A, then A is equidistant from B and C, so AB = AC (isosceles).
Answer: A) AB = AC (it is isosceles with AD as both median and altitude)

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