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A triangle has two sides measuring 10 cm and 10 cm.
For how many integer values of the third side does a valid triangle exist?

Class 9Inequalities in a TriangleGeometry — Triangles
  • A19
  • B38
  • C20
  • D18

Step-by-Step Solution

Third side satisfies 10-10 < < 10+10, i.e. 0 < < 20. Integer values 1 to 19 inclusive = 19 values.
Answer: A) 19

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