Discussions for the Core part of the syllabus. Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths HL Revision Notes
by SIVASAMI » Tue Mar 22, 2016 5:20 pm
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.
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SIVASAMI
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by ib maths » Sun Aug 14, 2016 6:28 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!
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ib maths
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by SIVASAMI » Sun Aug 14, 2016 9:24 am
Thank you
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SIVASAMI
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