Home > Geometry calculators > Coordinate Geometry > Find the trisection points of line joining points A(-2,3) and B(5,4)

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 Problem: trisection points (-2,3) and (5,4) [ Calculator, Method and examples ]Solution:Your problem -> trisection points (-2,3) and (5,4)Suppose P(x,y) divides AB in the ratio 1:2.Here A(-2,3), B(5,4) are the given points:. x_1=-2, y_1=3, x_2=5, y_2=4:. x=(mx_2+nx_1)/(m+n)=(1*5+2*-2)/(1+2)=(5-4)/(3)=(1)/(3)=0.3333:. y=(my_2+ny_1)/(m+n)=(1*4+2*3)/(1+2)=(4+6)/(3)=(10)/(3)=3.3333:. P is (0.33,3.33)Suppose Q(x,y) divides AB in the ratio 2:1.Here A(-2,3), B(5,4) are the given points:. x_1=-2, y_1=3, x_2=5, y_2=4:. x=(mx_2+nx_1)/(m+n)=(2*5+1*-2)/(2+1)=(10-2)/(3)=(8)/(3)=2.6667:. y=(my_2+ny_1)/(m+n)=(2*4+1*3)/(2+1)=(8+3)/(3)=(11)/(3)=3.6667:. Q is (2.67,3.67)TriSection Points are (0.33,3.33) and (2.67,3.67)

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