I call you a genius if... EDIT: SOLUTION now up!

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eelw

Lifer
Dec 4, 1999
10,336
5,487
136
Originally posted by: Vertimus
Originally posted by: purbeast0
without angles this problem is not solvable ...

Wrong. I solved it, although it took me 35 minutes.

No, I would have to agree with purbeast, without angles, you can't solve this. Unless you're assuming angles BFC and BEC are 90 degrees.
 

Vertimus

Banned
Apr 2, 2004
1,441
0
0
Originally posted by: eelw
Originally posted by: Vertimus
Originally posted by: purbeast0
without angles this problem is not solvable ...

Wrong. I solved it, although it took me 35 minutes.

No, I would have to agree with purbeast, without angles, you can't solve this. Unless you're assuming angles BFC and BEC are 90 degrees.

I'm willing to bet $50 dollars via paypal you are wrong. (BTW, please don't bet, since I already solved it.)
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Originally posted by: eelw
Originally posted by: Vertimus
Originally posted by: purbeast0
without angles this problem is not solvable ...

Wrong. I solved it, although it took me 35 minutes.

No, I would have to agree with purbeast, without angles, you can't solve this. Unless you're assuming angles BFC and BEC are 90 degrees.

It might be solvable. I ended up with only one unknown and I haven't used the length 20 segment yet... but I can't figure out to intergrate that 20 into my information.
 

43st

Diamond Member
Nov 7, 2001
3,197
0
0
Originally posted by: TuxDave
Originally posted by: eelw
Originally posted by: Vertimus
Originally posted by: purbeast0
without angles this problem is not solvable ...

Wrong. I solved it, although it took me 35 minutes.

No, I would have to agree with purbeast, without angles, you can't solve this. Unless you're assuming angles BFC and BEC are 90 degrees.

It might be solvable. I ended up with only one unknown and I haven't used the length 20 segment yet... but I can't figure out to intergrate that 20 into my information.

Same here. The 20 length has no relationship to anything. If we knew the bottom was a straight line it would help a bit but we don't know that. The problem is missing information.
 

upsciLLion

Diamond Member
Feb 21, 2001
5,947
1
81
I bet some tricky usage of Heron's formula for triangular area would lead to a solution.
 

Legendary

Diamond Member
Jan 22, 2002
7,019
1
0
If BE and FC bisect the angles this is easy. Or if AD forms a right angle with BC. Or if BE forms a right angle with AC.
If they don't, they I don't have any idea. None of this information is given.
 

bonkers325

Lifer
Mar 9, 2000
13,076
1
0
the problem is deceiving you. it is not drawn correctly, so the inscribed triangles look different, but they're actually the same. the have common bases and one common side, which makes the 3rd side equivalent.