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Can we form a triangle with lengths: 4 cm, 5 cm and 9 cm?*Yes, because the sum of any two sides is greater than to the remaining sideNo, because the sum of the two sides 9 and 4 is smaller than 5No, because the sum of the two sides 4 and 5 is equal to 9 which is the third side.Yes, because we can create a triangle with any three sides.

Question

Can we form a triangle with lengths: 4 cm, 5 cm and 9 cm?*Yes, because the sum of any two sides is greater than to the remaining sideNo, because the sum of the two sides 9 and 4 is smaller than 5No, because the sum of the two sides 4 and 5 is equal to 9 which is the third side.Yes, because we can create a triangle with any three sides.

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Solution

No, we cannot form a triangle with lengths 4 cm, 5 cm, and 9 cm. This is because the sum of the two smaller sides (4 cm and 5 cm) is equal to the length of the largest side (9 cm). According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Here, since the sum of the two smaller sides is not greater than the length of the largest side, these lengths cannot form a triangle.

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Construction of a triangle is not possible if :

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