Let ABC be a right-angled triangle with sides 5 cm, 12 cm, and 13 cm. If p is the length of the perpendicular drawn from vertex A (opposite to the hypotenuse) on the hypotenuse BC, then what is the value of 13p?

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.