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Maths!!!

Please can anyone help with this?? I'm stuck...

Find an expression for the length of the line segment EF in terms of a and b.maths stuck.png
(edited 8 months ago)
Reply 1
What can you say about the three triangles inside the parallelogram with a vertex where AD and CB intersect, so with bases AB, CD, EF?
Reply 2
Similar? I haven't been thinking about angles but now it looks better
Reply 3
Original post by Bookworm524
Similar? I haven't been thinking about angles but now it looks better


Yes theyre similar. Its the famous/old Thales theorem. So the heights are in the ratio of the bases which should get you there.
Reply 4
I guessed (a-b)/2 and somehow this is correct?!
Reply 5
But I don't actually know how to get there
Reply 6
Original post by Bookworm524
But I don't actually know how to get there

Draw the similar triangles and think how the bases/heights are related.

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