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All integers (Posted on 2005-01-17) Difficulty: 3 of 5
The sides of a trapezoid are 5, 8, 11, and 13, and its diagonals are also integer numbers; what are they?

See The Solution Submitted by Federico Kereki    
Rating: 4.5000 (2 votes)

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re: Solution (Proof by Hand) | Comment 4 of 14 |
(In reply to Solution (Proof by Hand) by np_rt)

You said,

"I dropped perpediculars from the endpoints for the side of length b to the side of length d. This basically splits the trapezoid into 2 right triangles and a rectangle between them."

There is an assumption here that needs justification.  You are assuming that the two angles surrounding the side of length b are both obtuse.  But only one might be obtuse.

Anyhow, I am convinced that there is a mistake in this problem. 


  Posted by David Shin on 2005-01-17 21:22:30
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