Pl ans q51
Q.51. The sides of a triangle are 2006 cm, 6002 cm and m cm, where m is a positive integer. Find the number of such possible triangles.
(a) 1
(b) 2006
(c) 3996
(d) 4011

Dear Student,

We know that in a  sum of any two sides is always greater than the third side.So, 6002+2006 >m           ....iand 6002-2006 <m          ....iiFrom equ i and ii, 6002-2006 <m <6002+20063996<m<8008Since, m is an integer, it can take 8008-3996-1 or 4011 valuesHence, option d is correct.

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(d)4011.
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