In a right-angled triangle ABC, ∠BAC = 90° and AD is perpendicular to BC. If the area of ΔABC is 63 cm2, the area of ΔACD = 7 cm2, and AC = 5 cm, then the length of BC is equal to:

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.