Question

The sides of a triangle are 2006 cm,6002 cm and X cm,whatever X cm is a positive integer.Find the number of such possible triangles

Answer 1

We know that,

Sum of two sides in any triangle is always greater than the third side.

so, for the triangles formed by the sides 2006cm , 6002cm and K cm

2006 + 6002 > K
2006 + K > 6002
6002 + K > 2006

from the above inequalities formulate the number of possible values of K.

this value represent the number of possible triangles.

you will get the answer 4012

Thanks to Sai