Good one!

Find the point in the interior of a triangle such that summation of its distances from vertices is minimum.

18 Answers

1
Aditya ·

hint reqd?????......hint is interesting!

1
pankaj sachan ·

so point will be ortho center of the triangle...

1
Aditya ·

Actually one proof goes like this..........

Suspend 3 equal masses by means of a light string frm dat point through the vertices. As every system tries 2 attain minimum energy, the masses will finally adjust themselves in the same level. At this position, summation of distances of point from vertices will be minimum.
Using Lamis theorem,
the sines of the angles will b equal.
So each angle is 120.

341
Hari Shankar ·

i just know the result. for proof see wiki

341
Hari Shankar ·

that term comes from graph theory. but the original problem was proposed by Fermat and solved by Torricelli

1
Aditya ·

cud u post the proof?

1
Aditya ·

sry.....it is which subtends an angle of 120, but it was known 2 me as Steiner point.......

341
Hari Shankar ·

What do you mean no?

I am sure you have seen an answer which reads "that point at

which each side subtends an angle of 1200.

FYI, that is what is known as the Fermat Point

1
Aditya ·

which exactly is the fermat point?

13
MAK ·

Isn't it d incentre of d triangle...!!!

i'm not sure though...

1
Aditya ·

No.

341
Hari Shankar ·

the fermat point

1
Aditya ·

No.

3
msp ·

centroid will be the pt i think...

1
Aditya ·

okk...

13
MAK ·

no, dont give any hint... let others try...

1
Aditya ·

shud i give a hint...???

1
Aditya ·

No.

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