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Which of the following possibilities will form a triangle?

Side = 15 cm, side = 7 cm, side = 7 cm

Side = 15 cm, side = 7 cm, side = 9 cm

Side = 14 cm, side = 6 cm, side = 7 cm

Side = 14 cm, side = 6 cm, side = 8 cm

User Igoris
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1 Answer

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Answer:

Explanation:

The second possibility, where the sides are 15 cm, 7 cm, and 9 cm, will form a triangle.

To form a triangle, the sum of any two sides must be greater than the third side. That is, in option 1, the sum of the two shorter sides (7 cm + 7 cm = 14 cm) is not greater than the longest side (15 cm), so it cannot form a triangle. In option 3, the sum of the two shorter sides (6 cm + 7 cm = 13 cm) is not greater than the longest side (14 cm), so it cannot form a triangle. Similarly, in option 4, the sum of the two shorter sides (6 cm + 8 cm = 14 cm) is not greater than the longest side (14 cm), so it cannot form a triangle.

User Naveed S
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