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Take triangle ABC with AB = 4 cm and AC = 5 cm, and a point P on side AC.
Which statement about AB + BP versus AP is always correct?

Class 9Inequalities in a TriangleGeometry — Triangles
  • AAB + BP > AP
  • BAB + BP < AP
  • CAB + BP = AP
  • DAB + BP = AC

Step-by-Step Solution

In triangle ABP, the sum of two sides AB and BP must be greater than the third side AP, by the triangle inequality.
Answer: A) AB + BP > AP

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