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Two 5 cm sticks are joined at a hinge. Their free ends are k cm apart. For which values of k do the sticks and the gap form a triangle?

Class 7Triangle InequalityTriangles
  • ALess than 5 cm only
  • BExactly 10 cm
  • CMore than 0 and less than 10 cm
  • DMore than 10 cm

Step-by-Step Solution

The gap k must be less than 5 + 5 = 10 cm and more than 5 − 5 = 0. At k = 10 the sticks lie in a straight line.
Answer: C) More than 0 and less than 10 cm

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