Tag Archives: triangle inequality theorem

Making Triangles

You have six sticks of lengths , and cm. Find the number of noncongruent triangles that can be formed using three of these sticks as sides. Source: NCTM Mathematics Teacher, August 2006 Solution Three sticks make a triangle. There are … Continue reading

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Sticks in a Bag

Each stick in a certain bag has integral length. If any three sticks are selected from the bag, they will not form a triangle. The longest stick in the bag has length . What is the maximum number of sticks … Continue reading

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Leg of Isosceles Triangle

The length of each leg of an isosceles triangle is , and the length of the base is . Determine all possible real values of . Source: NCTM Mathematics Teacher 2006 SOLUTION ForĀ  to be a triangle (Triangle Inequality Theorem) … Continue reading

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