The sides of a trapezoid are 5, 8, 11, and 13, and its diagonals are also integer numbers; what are they?
(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.