write the formula for:a)centroid b)section formula. please answer.
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Step-by-step explanation:
Solution:
Given,
The vertices coordinates are (-1, -3), (2, 1) and (8, -4)
From this, we can write the x- coordinates
x1 = -1, x2 = 2, x3 = 8
Similarly, for the y-coordinates;
y1 = -3, y2 = 1, y3 = -4
The formula to find the centroid of a triangle is
G = ((x1+x2+x3)/3 , (y1+y2+y3)/3 )
Substitute the values, G = ((-1+2+8)/3 , (-3+1-4)/3)
G =( 9/3 , -6/3)
G = (3, -2)
Therefore, the centroid of a triangle, G = (3, -2)
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