If S is the centroid of the right-angled triangle PQR, whose sides are PQ = 12 cm, PR = 13 cm, and QR = 5 cm (with the right angle at Q), then the length of QS (in cm, correct to two decimal places) is:

If B is the center of a circle and lines AD and CD are tangent segments drawn from an external point D, then which of the following classifications apply to quadrilateral ABCD? (a) Kite (b) Cyclic quadrilateral (c) Rhombus (d) Trapezium

In a parallelogram PQRS, rays PA and SA are the angle bisectors of ∠QPS and ∠RSP respectively. Find the measure of ∠PAS.