Geometry Problems 1061-1070. Level: High School, College

Geometry problems 1061-1070
These geometry problems are designed for a high school and college level, covering a range of topics to challenge and enhance geometric understanding.

$Geometry Problem 1061$	Geometry Problem 1061. Triangle, Inradius (r), Circumradius (R), Circumcircle, Angle Bisector, Distance from a point to a Line, Perpendicular.
$Geometry Problem 1062$	Geometry Problem 1062. Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.
$Geometry Problem 1063$	Geometry Problem 1063. Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments.
$Geometry Problem 1064$	Geometry Problem 1064. Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides.
$Geometry Problem 1065$	Geometry Problem 1065. Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius r_a, Distance, Diameter.
$Geometry Problem 1066$	Geometry Problem 1066. Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius r_a, Distance, Diameter.
$Geometry Problem 1067$	Geometry Problem 1067. Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter
$Geometry Problem 1068$	Geometry Problem 1068. Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter
$Geometry Problem 1069$	Geometry Problem 1069. Circle, Angles, Auxiliary Lines
	Geometry Problem 1070. Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular.