triangle ABC,angleA=60 degree,angleB=70 degree,angleC=50 degree. AB=6cm,BC=6.5cm,AC=7cm. Find its centroid.

Answer 1

the centroid is the intersection of the medians. So, let AB and AC be vectors from A, and BD and CE be the medians from B and C.

Then we have (using suitable coordinates)
A = (0,0)
B = (6,0)
C = (7/2,7√3/2)
D = (7/4,7√3/4)
E = (3,0)
BD is the line y = -14√3/17 (x-6)
CE is the line y = 7√3 (x-3)

Now just find the intersection of those two lines.