Asked by vikram
triangle ABC,angleA=60 degree,angleB=70 degree,angleC=50 degree. AB=6cm,BC=6.5cm,AC=7cm. Find its centroid.
Answers
Answered by
Steve
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.
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.
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