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A triangle has sides of length (n^2+n+1), (2n+1) and (n^2-1) where n>1.

Explain why the side (n^2+n+1) must be the longest side of the triangle ( 3 MARKS)

Please show the solution.

Explain why the side (n^2+n+1) must be the longest side of the triangle ( 3 MARKS)

Please show the solution.

- SIVASAMI
**Posts:**0**Joined:**Sat May 24, 2014 1:17 am

(n^2+n+1)>n^2-1 this inequality is true for any integer n>1

(n^2+n+1)>2n+1 this inequality is true for any integer n>1

So, the side n^2+n+1 is the greatest side

Hope this help!

(n^2+n+1)>2n+1 this inequality is true for any integer n>1

So, the side n^2+n+1 is the greatest side

Hope this help!

- ib maths
- Site Admin
**Posts:**41**Joined:**Wed Jan 23, 2013 1:01 pm

3 posts
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