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A triangle is constructed using base BC = 8 cm, base angle B = 60° and the difference AC - AB = 2 cm.
In this construction, the point is marked on the opposite side of the ray (compared with the sum case) because AC is ____ than AB.

Class 9Constructions of TrianglesGeometry
  • Agreater
  • Bsmaller
  • Cequal
  • Ddouble

Step-by-Step Solution

When AC - AB is positive, AC is greater than AB, so the construction marks the difference point and uses the perpendicular bisector accordingly to fix A. The orientation depends on which side is longer.
Answer: A) greater

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