Three points 2

The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.

Correct result:

x =  6.2
y =  9.6

Solution:


(x-3)•(6-3) + (y-8)•(2-8) = 0
(x-10) = (y-2) • (6-3)/(2-8)

3x-6y = -39
x+0.5y = 11

x = 315 = 6.2
y = 485 = 9.6

Calculated by our linear equations calculator.



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For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
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See also our right triangle calculator.

 
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