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24 August, 2010

Triangle Inequality

Take broom sticks of different lengths.
(Say, 4cm, 7cm and 13cm)

Can you make a triangle using these sticks?
Now, try to find a relation between the largest side and the sum of the remaining two.

Repeat this by taking few more sets of broom sticks.

What do you notice?
Based on your observations, write a conjecture about the relationship between the sum of the measures of the two sides of a triangle and the measure of the largest side of the triangle. Provide a reason for your conjecture.
Thinking questions?
Two sides of a triangle are 6 cm and 10 cm long. Determine a range of possible measures for the third side of the triangle.

Is it possible to have a triangle such that the sum of the measures of the two sides is equal to the measure of the largest side? Provide a convincing reason for your answer.

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