Question

ΔABC has integral sides, such that AB, BC measuring 2001 units and 1002 units respectively. The number of such triangles is _____.

(PLEASE AVOID POSTING UNNECESSARY ANSWERS)

Answer 1

Answer:

I guess this question aims to test your knowledge about the formation of a triangle. In a triangle, the sum of any two sides must be greater than the third side. Let the unknown side AC be X cm.

So, X+2001 ＞1002

X+1002＞2001

1002+2001＞X

Consider these inequalities, 999＜X＜3003.

As X is an integer, so X is can the number from 1000 to 3002. So, there are 2003 possible solutions for X.