In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?

- ক) x > 5
- খ) x < 9
- গ) 5 <= x <= 9
- ঘ) 4 < x < 14
- ঙ) None of these
উত্তর দেখুন
উত্তর: ঘ) 4 < x < 14
ব্যাখ্যা
D) 4 < x < 14. In any triangle, each side is shorter than the sum of the other two and longer than their difference. So 9 − 5 < x < 9 + 5, which is 4 < x < 14. The other options are not always true: x could be 4.5, below 5, or 13, above 9.
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