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Triangle Proof, EZ for you guys probly

 
 
Reply Fri 15 Oct, 2004 05:46 am
I need to proves something for my 9th grade honors class. Please only use postulates that are widely known.


You are given:
-A bisects DE
-B bisects CE

You have to prove triangle CDE iscoceles. it kind of hard.
If you can prove it impossible that would be fine too. It should give you a triange with two lines cutting throught it. Any help would be very appreciated.

-TY
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habman 6
 
  1  
Reply Fri 15 Oct, 2004 02:35 pm
make F the point where the two medians intersect.

triangle EBD is congruent to EAC (side angle side)

therefore angle EDB = angle ACB

angle DFA = angle CFA (opposite angle theorem)

angle FBC = angle DAF (sum of angles in a triangle)

triangle FBC in congruent to FAD (angle side angle)

side DF = side FC (congruent triangles), so DFC is isoceles

angle FDC = angle FCD (isoceles triangle theorem)

so since angle ADF = angle BCF, and angle FDC = angle FCD, then angle ADC = angle BCD (add the previous 2 together) so the triangle is isoceles (2 equal angles)
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Theanimalboy
 
  1  
Reply Sat 16 Oct, 2004 05:27 pm
cool
uhhhh i think thats right ill check w/ my math teacher, im tryig to compute it with ur equation, but its kinda hard. im guessing you got it right but just to make sure, illt ry it again
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Theanimalboy
 
  1  
Reply Sat 16 Oct, 2004 05:32 pm
i just fond an error, you are never given that DB=AC, so u cant prve the triangels as congruent
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habman 6
 
  1  
Reply Sat 16 Oct, 2004 05:39 pm
youre probably right, i did it quick.......you can do it many other ways though, such as using the fact that a median splits the triangle into 2 triangles with equal areas.

also, try adding in another median, it should be easier
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habman 6
 
  1  
Reply Sat 16 Oct, 2004 05:43 pm
after another quick look over, i dont think you have enough info
0 Replies
 
 

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