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Four points A (6, 3), B (-3, 5), C (4, -2) and D (x, 3x) are given in such a way that ΔDBC/ΔABC = 1/2, find x.

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Four points A (6, 3), B (-3, 5), C (4, -2) and D (x, 3x) are given in such a way that ΔDBC/ΔABC = 1/2, find x.

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Best answer

Given 

The coordinate of triangles are shown in the figure.

Also, ΔDBC/ΔABC = 1/2

Now let us consider area of a ΔPQR

24.5 = 28x – 14

28x = 38.5

x = 38.5/28

= 1.375

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