36a2m + b2n = a (d2 + mn)
i read of this mathematical expression in wikipedia.. but i didn't know what exactly
m and n stands for ....
But sir... this dosen't work in calculating the value of d...!!!!
6 Answers
62it is the extension of the apollonius theorem...
basically if the base is divided in lengths m and n then the relation between the length of the line joining the point of division to the vertex and the remaining sides of the traingle..
Wikipedia does have the reference and a good proof too...
3662you have written a wrong version.. the a in the RHS has to be "c"...
36Oh... ho... yep...
but though... this dosen't work... i checked it in an equilateral triangle...
on dropping a median from A on BC at D.. and taking any length like 3 units of each of its
sides...
and used this... but of no use...????
62it does..
put a=b=c=x
and m=n=x/2
for the case u mentioned..
you get d=root3/2 x
36Yup it does.. i m truly sorry... what i did was trully typical...
i took m = n = 1 ... that was a silly mistake... i m truly sorry for wasting ur time sir...
and Thanks...