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O is a point inside triangle ABC with AB = 8 cm, BC = 9 cm and CA = 7 cm. OA + OB + OC must be greater than:

Class 7Triangle InequalityTriangles
  • A8 cm
  • B24 cm
  • C12 cm
  • D6 cm

Step-by-Step Solution

OA + OB > 8, OB + OC > 9, OC + OA > 7. Adding: 2(OA + OB + OC) > 24, so OA + OB + OC > 12 cm.
Answer: C) 12 cm

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