Which of the following could represent length of sides of a triangle?

3, 4, 5

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1, 2, 3

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2, 4, 6

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All of these

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Solution

The correct option is A
3, 4, 5

For a geometrical figure to be a triangle, the sum of lengths of any two sides must be greater than the third side. Otherwise, a triangle cannot be formed.

Here, other than sides 3 , 4 and 5 cm none of the other sets satisfy the above condition.

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Similar questions

Suppose we want to draw a triangle with one side 6 centimeters long. Which of the following pairs of lengths can be the lengths of the other two sides?

(i) 4 cm, 1 cm

(ii) 4 cm, 2 cm

(iii) 4 cm, 3 cm

(iv) 5 cm, 10 cm

(v) 5 cm, 11 cm

(vi) 5 cm, 12 cm

Q. In each of the following, there are three positive numbers. State if these numbers could possibly be the lengths of the sides of a triangle:
(i) 5, 7, 9
(ii) 2, 10, 15
(iii) 3, 4, 5

Which of the following could represent length of sides of a triangle?

Q. Which of the following could represent length (in cm) of sides of a triangle?

The vertices of a triangle are $(2, 1), (5, 2),$ and $(4, 4)$ . The lengths of the perpendicular from these vertices on the opposite sides are

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Which of the following could represent length of sides of a triangle?

The correct option is A 3, 4, 5 For a geometrical figure to be a triangle, the sum of lengths of any two sides must be greater than the third side. Otherwise, a triangle cannot be formed. Here, other than sides 3 , 4 and 5 cm none of the other sets satisfy the above condition.

The correct option is A
3, 4, 5

For a geometrical figure to be a triangle, the sum of lengths of any two sides must be greater than the third side. Otherwise, a triangle cannot be formed.

Here, other than sides 3 , 4 and 5 cm none of the other sets satisfy the above condition.