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Question
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
9 cm, 6 cm, 16 cm
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Solution
9 cm, 6 cm, 16 cm
Here, 16 > 9 + 6
= 16 > 15
In any triangle, the sum of the lengths of any two sides of the triangle is always greater than the third side.
Therefore, the triangle is not possible.
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| Column A | Column B |
| (i) No sides are equal | Isosceles triangle |
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| (iii) One obtuse angle | Right angled triangle |
| (iv) Two sides of equal length | Equilateral triangle |
| (v) All sides are equal | Obtuse angled triangle |
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