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In Euclidean geometry parallel lines are always the same distance apart. In non-Euclidean geometry parallel lines are not what we think of a parallel. They curve away from or toward each other. Said another way, in Euclidean geometry parallel lines can never cross. In non-Euclidean geometry they can.
Geometry is actually widely used in the landscaping industry; it is used to consider the height of shrubs as well as the dimensions of a garden and its placement, and dimensions of the material which should be used. Architects use an incredibly large amount of geometry. This ranges from determining the angle and lengths at which materials.
what is the distance between the points (-3, -3) and (6, -1)
Geometry can be used in basketball to calculate the exact angle and distance you need to shoot the ball to get it into the hoop. But without a protractor and measuring tape it's practically useless. :P
square root(x2-x1)squared+(y2-y1)squared