Question 6
(BUL) An isosceles trapezoid with bases $a$ and $b$ and height $h$ is given.
(a) On the line of symmetry construct the point $P$ such that both (non-base) sides are seen from $P$ with an angle of $90^\circ$.
(b) Find the distance of $P$ from one of the bases of the trapezoid.
(c) Under what conditions for $a,b$, and $h$ can the point $P$ be constructed (analyze all possible cases)?
(a) On the line of symmetry construct the point $P$ such that both (non-base) sides are seen from $P$ with an angle of $90^\circ$.
(b) Find the distance of $P$ from one of the bases of the trapezoid.
(c) Under what conditions for $a,b$, and $h$ can the point $P$ be constructed (analyze all possible cases)?