Question 12
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

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Solution

Yes, because in each case the sum of two sides is greater than the third side.
i.e., 7 +4 > 8.
8+4 > 7.
7 + 8 > 4.
Hence, it is possible to construct a triangle with given sides.

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Similar questions

Is it possible to construct a triangle with lengths of its sides as given below? Give reason for your answer.

(i) 5 cm, 4 cm, 9 cm (ii) 8 cm, 7 cm, 4 cm

(iii) 10 cm, 5 cm, 6 cm (iv) 2.5 cm, 5 cm, 7 cm

(v) 3 cm, 4 cm, 8 cm

Why is it not possible to construct a triangle with sides 3 cm, 4 cm and 8 cm?

3 \cdot 6 c m, 6 c m a n d 2 \cdot 4 c m

Which of the following combinations are not possible for a triangle?

I.Sides as 4 cm, 9 cm, 13 cm.

II.Two obtuse angles.

III.Two acute angles.

IV. Sides as 9 cm, 8 cm and 7 cm.

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