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in Triangles by (65.5k points)

Is it possible to have a triangle with the following sides ?

(i) 2 cm, 3 cm, 5 cm.

(ii) 3 cm, 5 cm, 7 cm

(iii) 6 cm, 3 cm, 2 cm

1 Answer

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by (65.3k points)
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Best answer

(i) greatest side is 5 cms.

2 + 3 = 5

Here sum of the side is equal to third side.

So it is impossible to construct the triangle by given measures.

Because the property of a triangle says that the sum of the two sides of a triangle is greater than the length of the third side.

(ii) The greatest side is 7 cm.

3 + 6 = 9 cms > 7

6 + 7 = 13 > 3

7 + 3 = 10 > 6

∴ It is possible to construct the triangle with the sides of 3, 6 and 7 cms.

(iii) 6 + 3 = 9 > 2

3 + 2 = 5 > 6

2 + 6 = 8 > 3

∴ It is not possible to construct the triangle with the sides of 6, 3 and 2 cms.

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