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A student is asked to construct triangle ABC with BC = 5 cm, angle B = 45°, and AB - AC = 1.8 cm.
Which condition confirms the triangle can be constructed?

Class 9Constructions of TrianglesGeometry
  • A1.8 cm < 5 cm, so it is valid
  • B1.8 cm must equal 5 cm
  • C1.8 cm > 5 cm needed
  • Dangle B must be 60°

Step-by-Step Solution

For the difference-of-sides construction, the given difference AB - AC must be less than the base BC. Since 1.8 < 5, the triangle is constructible.
Answer: A) 1.8 cm < 5 cm, so it is valid

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