+63 1 (a). Find the inradius of triangle ABC.
1 (b). Find the circumradius of triangle ABC.
2. In triangle PQR, M is the midpoint of \(\overline{PQ}\). Let X be the point on \(\overline{QR}\) such that \(\overline{PX}\) bisects \(\angle QPR\) and let the perpendicular bisector of \(\overline{PQ}\). intersect \(\overline{PX}\) at Y. If PQ = 36, PR = 22, and MY = 8, then find the area of triangle PYR.
3 (a). In triangle ABC, let the angle bisectors be \(\overline{BY}\) and \(\overline{CZ}\). Given AB = 12, AY = 10, and CY = 8, find BC.
3 (b). In triangle ABC, let the angle bisectors be \(\overline{BY}\) and \(\overline{CZ}\). Given AB = 12, AY = 10, and CY = 8, find BZ.
