F.3 Maths
2013-10-14 1:23 am
Given that the three sides of any trianglehave the following property.“The sum of any two sides of triangle mustbe great than remaining sides.”If we know the sides of a triangle are 5cm , 6cm , and x cm respectively, where x integer, find allpossible values of x.
回答 (1)
2013-10-14 1:35 am
✔ 最佳答案
We have the condition that "The sum of any two sides of triangle mustbe great than remaining sides."So, x < 5 + 6
5 < x + 6
6 < x + 5
Arranging
x < 11
x > -1
x > 1
So, the possible values of x are 2,3,4,5,6,7,8,9,10
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