MathDB

Bolek draw a trapezoid

ABCD

trapezoid (

AB // CD

) on the board, with its midsegment line

EF

in it. Point intersection of his diagonal

AC, BD

denote by

P,

and his rectangular projection on line

AB

denote by

Q

. Lolek, wanting to tease Bolek, blotted from the board everything except segments

EF

and

PQ

. When Bolek saw it, wanted to complete the drawing and draw the original trapezoid, but did not know how to do it. Can you help Bolek?

Problem Statement