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

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Solution

We know that if the sum of any two sides of a triangle is always greater than the third side (greater side), then the triangle can be constructed.

For measures 3 cm, 4 cm and 8 cm, we observe that 3 cm + 4 cm < 8 cm.

So, it is not possible to construct a triangle with the sides 3 cm, 4 cm and 8 cm.

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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

5 c m, 8 c m

1 c m

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

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?