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Select the correct statement about the properties of a triangle.

  1. A
    The sum of two sides is always greater than the third side.
  2. B
    The sum of two sides may be equal to the third side.
  3. C
    The sum of two sides is always equal to the third side.
  4. D
    The sum of two sides is always less than the third side.

Solution & Step-by-step Explanation

According to the Triangle Inequality Theorem, for any valid triangle, the sum of the lengths of any two sides must always be strictly greater than the length of the remaining third side. If it is equal or less, a closed triangle cannot be formed.

Practice this question

Try it yourself before checking the explanation above.

Select the correct statement about the properties of a triangle.
A
The sum of two sides is always greater than the third side.
B
The sum of two sides may be equal to the third side.
C
The sum of two sides is always equal to the third side.
D
The sum of two sides is always less than the third side.

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