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 answer:

x =  6.2
y =  9.6

Step-by-step explanation:


(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 = 31/5 = 6.2
y = 48/5 = 9.6

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