Q1: The points A, B and C are (9,8) , (12,4) and (4,-2) respectively.
a) Find
i) The gradient of the line through A and B. [1]
ii) The equation of the line through C which is parallel to AB. [2]
b) Calculate the length of the line segment. [1]
i) AB [1]
ii) BC [1]
c) Show that AB is perpendicular to BC. [1]
d) Calculate the area of triangle ABC. [2]
e) Calculate the perimeter of triangle ABC.
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