Plot the points A (6,6),B(4,4),C(-1,-1) in the cartesian plane and show that the points are collinear - Maths - Coordinate Geometry

Question

Plot the points A (6,6),B(4,4),C(-1,-1) in the cartesian plane
and show that the points are collinear

Ajanta Trivedi · Accepted Answer

from the graph it is clear that the points are collinear.

A(6,6) , B(4,4) and C(-1,-1)

$A C = \sqrt{(6 + 1)^{2} + (6 + 1)^{2}} = \sqrt{7^{2} + 7^{2}} = \sqrt{2 * 7^{2}} A C = 7 \sqrt{2}$

$A B = \sqrt{(6 - 4)^{2} + (6 - 4)^{2}} = \sqrt{2^{2} + 2^{2}} = \sqrt{2 * 2^{2}} A B = 2 \sqrt{2}$

$B C = \sqrt{(4 + 1)^{2} + (4 + 1)^{2}} = \sqrt{5^{2} + 5^{2}} = \sqrt{2 * 5^{2}} B C = 5 \sqrt{2}$

therefore

$A B + B C = 2 \sqrt{2} + 5 \sqrt{2} = 7 \sqrt{2} = A C$

hope this helps you.

cheers!!

Plot the points A (6,6),B(4,4),C(-1,-1) in the cartesian plane and show that the points are collinear.