F3 MATHS COORDINATES 1題

2007-08-12 12:59 am
a triangle with vertices (1, 1) (1 , -2) and (5 , -2)

Find the coordinates of the centroid of the triangle.

回答 (1)

2007-08-12 1:12 am
✔ 最佳答案
There is a formula to find the coordinates of the centroid of a triangle, which is:

x = (x1 + x2 + x3) / 3 and y = (y1 + y2 + y3) / 3,


where (x,y) are the coordinates of the centroid and
(x1,y1) , (x2,y2) , (x3,y3) are the coordinates of the vertices of the triangle.

So, according to your question,
the coordinates of the centroid of the triangle
= ( (1 + 1 + 5)/3 , (1 - 2 - 2)/3 )
= ( 7/3 , -1 )


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