An isosceles trapezoid with bases
and
and altitude
is given.
a) On the axis of symmetry of this trapezoid, find all points
such that both legs of the trapezoid subtend right angles at
;
b) Calculate the distance of
from either base;
c) Determine under what conditions such points
actually exist. Discuss various cases that might arise.



a) On the axis of symmetry of this trapezoid, find all points


b) Calculate the distance of

c) Determine under what conditions such points
