Math CentralQuandaries & Queries


Question from Natakie, a student:

Find the coordinate of the vertices of a triangle whose sides lie on the following three lines.
2x+5y-16=0, 4x-3y-6=0 and 3x+y+2=0


Each vertex is at the intersection of two of the lines so take two of the lines, say 2x+5y-16=0 and 4x-3y-6=0, and solve for x and y. These are then the coordinates of one of the vertices. Then choose another pair of lines and solve for x and y to find a second vertex. Finally take the last pair of lines and repeat to find the third vertex.


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