The coordinates of triangle ABC are A(7, 3), B(3, 7) and C(8, 8). P is the foot

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The coordinates of triangle ABC are A(−7, 3), B(3, −7) and C(8, 8). P is the foot of the perpendicular from B to AC.
a. Find the equation of the line BP.
b. Find the coordinates of P.
c. Find the lengths of AC and BP.
d. Use your answers to part c to find the area of triangle ABC.

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