Is it possible to cnstruct a triangle whose sides are 5cm, 5cm and 10 cm.

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Solution

According to the triangle inequality theorem, the sum of any 2 sides of a triangle should be greater than the third side.
5+5= 10 is not greater than 10(the third side)
Thus, this triangle cannot be drawn.

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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

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