Question : Which option with the given sides forms a triangle?
Option 1: 8, 6, 9
Option 2: 100, 200, 300
Option 3: 10, 25, 11
Option 4: 8, 2, 6
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Correct Answer: 8, 6, 9
Solution :
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
a + b > c
Option 1. 8, 6, 9 = 8 + 6 > 9, 6 + 9 > 8, 8 + 9 > 6. (All conditions satisfied)
Option 2. 100, 200, 300 = 100 + 200 = 300, 200 + 300 > 100, 100 + 300 > 200. (Not satisfied)
Option 3. 10, 25, 11 = 10 + 25 > 11, 25 + 11 > 10, 10 + 11 < 25. (Not satisfied)
Option 4. 8, 2, 6 = 8 + 2 > 6, 2 + 6 = 8, 6 + 8 > 2. (Not satisfied)
Hence, the correct answer is 8, 6, 9.
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