A triangle cannot be drawn with the following three sides?
- 3m, 4m, 8m
- 2m, 3m, 4m
- 4m, 6m, 9m
- 5m, 7m, 10m
Explanation
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.
Checking the options
1. 2m, 3m, 4m:
2 + 3 > 4 (True)
3 + 4 > 2 (True)
2 + 4 > 3 (True)
2. 3m, 4m, 8m:
3 + 4 > 8 (False)
3. 4m, 6m, 9m:
4 + 6 > 9 (True)
6 + 9 > 4 (True)
4 + 9 > 6 (True)
4. 5m, 7m, 10m:
5 + 7 > 10 (True)
7 + 10 > 5 (True)
5 + 10 > 7 (True)
The answer is 3m, 4m, 8m.
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