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M4U-9709-CG26-E-SL028 marks

E-SL02 · A triangle formed by three lines

Three lines have equations \(x+y=8\), \(y=2x-1\) and \(y=1\).

Find all three vertices of the triangle they enclose.

[3]

Find the area of the triangle.

[2]

Find the equation of the median from the vertex not on \(\displaystyle y=1\) to the opposite side.

[3]
Triangle formed by three given linesThe three lines x+y=8, y=2x−1 and y=1 enclosing a triangle. No intersection coordinates are labelled.x-112345678y-112345678x + y = 8y = 2x − 1y = 1
Find the vertices algebraically from the given equations.

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