Problem 4:
To form a triangle, the sum of lengths of any two sides has to be greater than the length of the other. Suppose that we want to form a triangle with sides $a, 31$ and $a + 1$ where a is an integer (or whole number) greater than $1$. Find the minimum value of $a$.
BdMO National Primary 2011/4
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
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Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
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tarek like math
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Re: BdMO National Primary 2011/4
a=16, minimum value of a is 16.
Re: BdMO National Primary 2011/4
please tell us the reason.tarek like math wrote:a=16, minimum value of a is 16.
Re: BdMO National Primary 2011/4
To form a triangle,the sum of lengths of any two sides has to be greater than the length of the other side.
$\therefore a+a+1> 31$.
Or,$a+a>30$.
Or, $2a>30$.
Or,$a>15$.
$\therefore$ The minimum value of $a$ is $16$.
$\therefore a+a+1> 31$.
Or,$a+a>30$.
Or, $2a>30$.
Or,$a>15$.
$\therefore$ The minimum value of $a$ is $16$.
"Questions we can't answer are far better than answers we can't question"
Re: BdMO National Primary 2011/4
thank you 
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But I realised they strive to become famous.
But I realised they strive to become famous.