P.o.t.W. #28 Solution
Drop perpendicular line segments from P and Q to side SR. The distance from the foot of each perpendicular to the nearest vertex of the trapezium (either S or R) is \(\dfrac{{b - a}}{2} . Let \(d be the length of the diagonal QS and F is the point where the perpendicular from Q intersects SR. Consider the right triangle SFQ that has \(d as its hypotenuse with legs SF and QF....