A (8,0), B (0,-8) and C (-16, 0) are the...

`A (8,0), B (0,-8) and C (-16, 0)` are the vertices of a triangle ABC. If P is in AB and Q is in AC such that `AP : PB = AQ : QC =3:5,` show that ` 8PQ = 3 BC.`

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