Find the co-ordinates of the points of tri-section of the line joining the points (-3, 0) and (6, 6).
Section Formula
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Question

Find the co-ordinates of the points of tri-section of the line joining the points (-3, 0) and (6, 6).

KnowledgeBoat · Accepted Answer

From figure, Let A and B be the points of tri-section of the line joining the points (-3, 0) and (6, 6). So, A and B divides the segment in three equal parts. A divides the line segment in ratio 1 : 2. Let co-ordinates of A be (a, b). By formula, A = (a, b) = (0, 2). B divides the line segment in ratio 2 : 1. Let co-ordinates of B be (c, d). By formula, B = (c, d) = (3, 4). Hence, points of tri-section are (0, 2) and (3, 4).

Mathematics

Find the co-ordinates of the points of tri-section of the line joining the points (-3, 0) and (6, 6).

Section Formula

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