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Q.1 Is it possible to have a triangle with the following sides?
(i) 2 cm, 3 cm, 5 cm
(ii) 3 cm, 6 cm, 7 cm
(iii) 6 cm, 3 cm, 2 cm
Answer :

We know that for a triangle, the sum of any two sides must be greater than the third side.
(i) Given sides are 2 cm, 3 cm, 5 cm
(2 + 3) = 5
5 = 5
Hence, the triangle is not possible.
(i) Given sides are 3 cm, 6 cm, 7 cm
(3 + 6) = 9 > 7
(6 + 7) = 13 > 3
(7 + 3) = 10 > 6
Hence, the triangle is possible.
(iii) Given sides are 6 cm, 3 cm, 2 cm
(3 + 2) = 5 < 6
Hence, the triangle is not possible.