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D is a point on side BC of triangle ABC. In the shaded triangle ABD, AB = 6 cm and BD = 3 cm. AD must be less than:

Class 7Triangle InequalityTriangles
  • A6 cm
  • B3 cm
  • C18 cm
  • D9 cm

Step-by-Step Solution

In triangle ABD, AD < AB + BD = 6 + 3 = 9 cm. (It must also be more than 6 − 3 = 3 cm.)
Answer: D) 9 cm

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