I
iTeachChem•2mo ago
Opt

Triangles - Inequalities

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26 Replies
iTeachChem Helper
iTeachChem Helper•2mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•2mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Is it 3? Oh wait nvm, my solution is flawed ig. @Opt Can you please share the answer to this?
Opt
OptOP•2mo ago
I don't have it 💀 It's a Challenge Question so no answers or solutions
SirLancelotDuLac
SirLancelotDuLac•2mo ago
I mean, the only relations I know about R and r absolutely do not give anything.
Opt
OptOP•2mo ago
I feel it's gonna be a very geometric argument and imma be pissed when I realise it if i do. Judging by the squares, area related
ChaiEnjoyer
ChaiEnjoyer•2mo ago
Yeah feels like herons formula use hoga
Opt
OptOP•2mo ago
They've given 2s value too
ChaiEnjoyer
ChaiEnjoyer•2mo ago
Kahin na kahin to
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Welp I tried to use $s.r=\Delta$ and $\frac{abc}{4R}=\Delta$.
TeXit
TeXit•2mo ago
SirLancelotDuLac
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SirLancelotDuLac
SirLancelotDuLac•2mo ago
Inverse pythagoras theorem or smth?
_zbro
_zbro•2mo ago
What is s.r here?
Opt
OptOP•2mo ago
Idt there's an inverse cosine rule
SirLancelotDuLac
SirLancelotDuLac•2mo ago
semiperi.*inradius Yeah man then I have no clue.
Opt
OptOP•2mo ago
Btw lance did you attempt IGMO this round?
SirLancelotDuLac
SirLancelotDuLac•2mo ago
No as I did not forsee it being in the midst of boards ;-; But yeah, will try it some other time ig.
Opt
OptOP•2mo ago
All I managed to do was get it into this form.
No description
Opt
OptOP•2mo ago
Which is symmetric and seems to have some AM-GM type properties. Almost.
_zbro
_zbro•2mo ago
I'm getting ans 3
Opt
OptOP•2mo ago
Could be, I have no way of knowing.
_zbro
_zbro•2mo ago
I didn't do anything, but generally in such cases minimum values come at equality, till what I've generally seen. So i just got the ans by taking a = b = c = 1 I know it might sound stupid but i've seen many questions that have max/min values generally at equality Although, Its hard to provide a proper solution for this
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Yeah the minus signs were causing the problems as mentioned above True, but that is not rigorous tho.
Slembash
Slembash•2mo ago
try using AM-HM im getting 3 using tht
Opt
OptOP•4w ago
+solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•4w ago
Post locked and archived successfully!
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