plz help with a very hard problem?

Question

find the coordinates of the centroid, where the medians are concurrent of a triangle with vertices at (0,0), (a,0), and (b,c).

Plz show work. thx

Answer 1

A(0,0) B(a,0) C(b,c)
Let D = (a/2,0) be the midpoint of AB
Let E = (b/2,c/2) be the midpoint of AC
Then median AD passes through points (b,c) and (a/2,0), and median BE passes through the points ((a,0) and (b/2,c/2)

You can find the equation of each median using the two point form: (y-y1)/(x-x1)=(y2-y1)/ x2-x1).

Then solve the two equations simultaneously and you will have the coordinates of the centroid.

Answer 2

i presume your question replaced into: a million/(2+a million/(2+a million/(2+a million/(2+a million/(2+.................. (a fragment having the denominator with limitless repeating fractional words) if so, the answer is going as follows: enable the given expression be equalm to a. then, a million/a = 2+a million/(2+a million/(2+a million/(2+......... onthe precise hand area, after the 1st '2', the the remainder of the expression is lower back 'a ' (because of the fact this is a limiteless sequence). for this reason, a million/a = 2+a from which, a^2+2a-a million=0 fixing this quadratic in a, (applying formulation),yields, a = sqrt(2) -a million. desire that ansewred ur question.