1.

If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be (a) 3 cm (b) 4 cm (c) 2 cm (d) 6 cm

Answer»

(d) 6 cm

We know that,

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

So, 6 cm + 10 cm > 3rd side

3rd side < 16 cm

The difference of the lengths of any two sides of a triangle is always smaller than the length of the third side.

So, 10 – 6 < 3rd side

3rd side > 4 cm

Therefore, 6 cm is the length of the 3rd side.



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