Bunuel wrote:

If 7 and 10 are the lengths of two sides of a triangle, which of the following can be the length of the third side?

I. 2

II. 8

III. 17

A. II only

B. III only

C. I and II only

D. II and III only

E. I, II, and III

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.So, \((10-7)<x<(10+7)\)

Or, \(3<x<17\).

Hence 2 and 17 cannot be the length of the third side but 8 can be.

Ans.(A)

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Regards,

PKN

Rise above the storm, you will find the sunshine