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Question-97600




Question Number 97600 by Power last updated on 08/Jun/20
Answered by mahdi last updated on 08/Jun/20
19 trangles  3,4,5 & 3,4,6 & 4,5,6 & 3,5,6  3,3,4 & 3,3,5 & 4,4,3 & 4,4,5 & 4,4,6  5,5,3 & 5,5,4 & 5,5,6 & 6,6,3 & 6,6,4 & 6,6,5  3,3,3 & 4,4,4 & 5,5,5 & 6,6,6  if a,b,c side of trangle⇒  a+b>c    a+c>b    c+b>a
$$\mathrm{19}\:\mathrm{trangles} \\ $$$$\mathrm{3},\mathrm{4},\mathrm{5}\:\&\:\mathrm{3},\mathrm{4},\mathrm{6}\:\&\:\mathrm{4},\mathrm{5},\mathrm{6}\:\&\:\mathrm{3},\mathrm{5},\mathrm{6} \\ $$$$\mathrm{3},\mathrm{3},\mathrm{4}\:\&\:\mathrm{3},\mathrm{3},\mathrm{5}\:\&\:\mathrm{4},\mathrm{4},\mathrm{3}\:\&\:\mathrm{4},\mathrm{4},\mathrm{5}\:\&\:\mathrm{4},\mathrm{4},\mathrm{6} \\ $$$$\mathrm{5},\mathrm{5},\mathrm{3}\:\&\:\mathrm{5},\mathrm{5},\mathrm{4}\:\&\:\mathrm{5},\mathrm{5},\mathrm{6}\:\&\:\mathrm{6},\mathrm{6},\mathrm{3}\:\&\:\mathrm{6},\mathrm{6},\mathrm{4}\:\&\:\mathrm{6},\mathrm{6},\mathrm{5} \\ $$$$\mathrm{3},\mathrm{3},\mathrm{3}\:\&\:\mathrm{4},\mathrm{4},\mathrm{4}\:\&\:\mathrm{5},\mathrm{5},\mathrm{5}\:\&\:\mathrm{6},\mathrm{6},\mathrm{6} \\ $$$$\mathrm{if}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{side}\:\mathrm{of}\:\mathrm{trangle}\Rightarrow \\ $$$$\mathrm{a}+\mathrm{b}>\mathrm{c}\:\:\:\:\mathrm{a}+\mathrm{c}>\mathrm{b}\:\:\:\:\mathrm{c}+\mathrm{b}>\mathrm{a} \\ $$
Commented by Rasheed.Sindhi last updated on 08/Jun/20
Also  3,3,3 ; 4,4,4 ; 5,5,5 ; 6,6,6
$${Also} \\ $$$$\mathrm{3},\mathrm{3},\mathrm{3}\:;\:\mathrm{4},\mathrm{4},\mathrm{4}\:;\:\mathrm{5},\mathrm{5},\mathrm{5}\:;\:\mathrm{6},\mathrm{6},\mathrm{6} \\ $$
Commented by mahdi last updated on 08/Jun/20
thank you for help :)
$$\left.\mathrm{thank}\:\mathrm{you}\:\mathrm{for}\:\mathrm{help}\::\right) \\ $$
Commented by Rasheed.Sindhi last updated on 08/Jun/20
you′re welcome!
$${you}'{re}\:{welcome}! \\ $$

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