Question

find the points of trisections in the line segment joining the point A(1,2) B(7,8)​

Answer 1

Answer:

let the points of trisection of the line AB be p(x,y) and q(r,s)

let p(x,y) divide AB in the ratio 1:2

apply section formula

(x,y) = [{(1*7)+(2*1)/3},{(1*8)+(2*2)/3}]

(x,y) = [3,4]  

lets come to the case of the trisection point q(r,s)

let q(r,s) divide AB line segment in the ratio 2:1

(r,s) = [{(2*7)+(1*1)/3},{(2*8)+(1*2)/3}]

(r,s) = [ 5,4]

Step-by-step explanation: