In the isosceles triangle ABC (AB = BC) there are medians AN and CM. Prove that MN || AC.
#7th Grade
timid slate
tough cipherBOT
In the isosceles triangle ABC (AB = BC) there are medians AN and CM. Prove that ...
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half tinsel
In the isosceles triangle ABC (AB = BC) there are medians AN and CM. Prove that ...
Try looking at triangles ABC and MBN.
Can you notice anything about them?
hollow seal
Well, I think there are multiple ways, depends on your knowledge level.
timid slate
Well, I think there are multiple ways, depends on your knowledge level.
Bad ig?
timid slate
Try looking at triangles ABC and MBN.
OHHHG
I HAVE TO PROVE THEY
No wait
I mean th share sides
half tinsel
I mean th share sides
They also share an angle, and due to what medians do, there is a nice correspondence between their sides.
timid slate
I made it
Bo is splitting the angle in half and is perpendicular etc.
And by theorem 13,1
MN || AC
half tinsel
Sure, that works.
My idea was to prove that these two triangles are similar, which would imply that the angles BAC and BMN are equal, so the lines are parallel.
half tinsel
Yes.
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@timid slate