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Maths C1 Question Help!!!

points D(2,-3), E (-1,7) and F(3,5) are midpoints of the sides BC, CA and AB of a triangle. what re the equation of its sides??

does anyone know how to do this question??
Original post by OmarAl
points D(2,-3), E (-1,7) and F(3,5) are midpoints of the sides BC, CA and AB of a triangle. what re the equation of its sides??

does anyone know how to do this question??


Draw a small sketch. You can notice that lines connecting two points points D, E and F (in whatever pair) are parallel to the sides of the triangle, therefore equal gradients. Find those gradients, and then use y−y1=m(x−x1)y-y_1=m(x-x_1) with points D, E and F where appropriate.
(edited 7 years ago)
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OmarAl
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Original post by RDKGames
Draw a small sketch. You can notice that lines connecting two points points D, E and F (in whatever pair) are parallel to the sides of the triangle, therefore equal gradients. Find those gradients, and then use y−y1=m(x−x1)y-y_1=m(x-x_1) with points D, E and F where appropriate.


so would i use y2 - y1/ x2-x1 for each of the coordinate pairs to find gradient?
Original post by OmarAl
so would i use y2 - y1/ x2-x1 for each of the coordinate pairs to find gradient?


Yep, that is how the gradient is found between 2 points, after all.

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