Problema Solution
In triangle ABC, centroid D is on median AM. AD= x+4 and DM= 2x-4. Find AM.
Answer provided by our tutors
the centroid divides each median in a ratio of 2:1 meaning:
AD : DM = 2 : 1
(x + 4) : (2x - 4) = 2 : 1
(x + 4) / (2x - 4) = 2 / 1
by solving we find:
x = 4
click here to see the step by step solution of the equation:
AM = AD + DM
AM = x + 4 + 2x - 4
AM = 3x
AM = 3*4
AM = 12