©G Dear2008 – Not to be sold/Free to use Stage 4 Year 9 Coordinate Geometry Download Geogebra Distance between Two Points (Formula) Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use

Distance Formula d = (x2-x1)2+(y2-y1)2 = (7 - 3)2+(5 --2)2 = 42 + 72 6 (7,5) = (7 - 3)2+(5 --2)2 5 4 = 42 + 72 3 2 = 16 + 49 1 (as surd) Exact -1 1 2 3 4 5 6 7 8 = 65 -1 -2 (3,-2) (x1,y1) ≈ 8.06 (approx) -3 Distance from (3,-2) to (7,5)? GeoGebra

Distance Formula Distance from (12,2) to (4,5)? d = (x2-x1)2+(y2-y1)2 = (4 - 12)2+(5 -2)2 = (-8)2 + 32 = 64 + 9 (as surd) Exact = 73

Distance Formula Distance from (6,2) to (7,5)? d = (x2-x1)2+(y2-y1)2 = (7 - 6)2+(5 -2)2 = 12 + 32 = 1 + 9 (2 decimal places) Approximate = 10 = 3.16