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head of triangle means A, B, C . Heights lengths : Like drawing perpendicular lines to the line L

@dan815 , Go help him dan

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got it, thnks

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is the constant same as side length ?

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oo nice

limiting case

*

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Wait I did a mistake , the sum of height lengths squared

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kk

is there an elegant solution, not liek a calculus solution

cuz you can alwys write a calculus solution just rote

if its true

y=mx+b and write perpendicular equations from 3 equal points

then i guess areas/similar triangles works pretty well
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@dan815, I though you'd get it easily. It's just lengths calculations

@ganeshie8 , How ?

idk how, im still thinking.. let me grab pen paper

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dan so much typos u made :O

my writing gives peoples unknowns to solve

people*

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it says a^2+b^2+c^2 = k

is this a case ?
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ok so L is parallel to one side and pass the center ?( the only case allowed ?)

hmm i seems dont understand :)

hello xD

its turning into an algebra excercise on my end, am i on the wrong path then

i just wanna see what about this case ?
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ugh "sigh"

what about that diagram?

@ikram002p , The line (L) is not parallel to the side.

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ok we know all right triangles are congruent for some cool reason :D

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I have managed to show \(a+b=c\)

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feel free to use that if it helps,
il provide the proof in the end..

did u use similarities properties ?

if not i'll continue with mine lol if yes i'll take ur result

continue with yours..

k :)

The constant is 1/2 The length of the triangle side squared.

I have shown the similarty case, not all three are similar

So the solution was build on corrupted base ?

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this is amazing !!!

Done ?

you don't get it ?

so the constant is .... from the triangle side ?

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