[" Type VII "],[" 17.Prove that the internal bisectors of the angles of a triangle are concurrent."]

Prove that the perpendicular bisectors of the sides of triangle are concurrent.

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Prove analytically that the bisectors of the interior angles of a triangle are concurrent.

Assuming the validity of the statement that the internal bisectors of the angles of a triangle are concurrent, prove that the altitudes of a triangle are concurrent.

Prove that the medians of a triangle are concurrent.

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Prove that the altitudes of a triangle are concurrent.