SOLUTION: The lines 4y=7x+21, 4y=31-3x and x-2y=-3 intersect at point A, B and C. Find the co-ordinates of these points and find the area of triangle ABC

SOLUTION: The lines 4y=7x+21, 4y=31-3x and x-2y=-3 intersect at point A, B and C. Find the co-ordinates of these points and find the area of triangle ABC

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Question 1054654: The lines 4y=7x+21, 4y=31-3x and x-2y=-3 intersect at point A, B and C. Find the co-ordinates of these points and find the area of triangle ABC
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Use the distance formula to find the distance between the points.

Use Heron's formula,

Let

So then,

Substituting,

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