The coordinates of triangle ABC are A(2, - 1), B(3,7) and C(14, 5). P is the foot

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The coordinates of triangle ABC are A(2, - 1), B(3,7) and C(14, 5).

P is the foot of the perpendicular from B to AC.

a. Find the equation of BP.

b. Find the coordinates of P.

c. Find the length of AC and BP.

d. Use your answers to part c to find the area of triangle ABC.

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