Multiple choice general knowledge math & puzzles

The base of an isoceles triangle is greater than the sum of the two legs

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In an isosceles triangle, the base is the side of unequal length, while the two legs are the equal sides. By the triangle inequality theorem, any side of a triangle must be less than the sum of the other two sides. Therefore, the base cannot be greater than the sum of the two legs - it must be less than their sum. The statement is false, and the correct answer is False.

AI explanation

By the Triangle Inequality Theorem, the length of any one side of a triangle must always be less than the sum of the other two sides; otherwise the two shorter sides could not meet to close the triangle. Applied to an isosceles triangle, the base must be less than the sum of the two equal legs, never greater. So the statement is False, not True.

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