SOLUTION: Find the equation of the straight line through A(1,4) which is perpendicular to the line passing through the points B(2,-2) and C(4,0). Hence find the area of the triangle ABC, giv

Question 879934: Find the equation of the straight line through A(1,4) which is perpendicular to the line passing through the points B(2,-2) and C(4,0). Hence find the area of the triangle ABC, giving your answer in the simplest possible form
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Line BC

, the slope.
b=y-mx

.

Length BC

Line containing A and perpendicular to line BC
Want slope -1.

, one of the answers.

Point of intersection these two lines

-
Either equation line, y=-x-3

Point on line BC, containing A is (1/2, -7/2).

What next?
Find the distance from A(1,4) to (1/2, -7/2), call the distance AP.
Find the area of the triangle ABC using .
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