How many triangles with the integer side lengths are possible with two sides 2009 cm and 2012 cm?
Answers
Given : two sides of triangle are 2009 cm and 2012 cm
To find : How many triangles with the integer side lengths are possible
Solution:
Two Sides of triangle
2009 cm & 2012 cm
A triangle is possible iff Sum of any two Sides > third Side
=> 2009 + Third Side > 2012
=> third Side > 3
2009 + 2012 > third Side
=> 4021 > third Side
=> 3 < third Side < 4021
Third Side integral values are from
4 cm to 4020 cm
Number of possible third Side = 4017
4017 Triangles with the integer side lengths are possible with two sides 2009 cm and 2012 cm
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