# Angles 45, 90, 135 degrees, Theorems and Problems- Table of Content

Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps.

Geometry Problem 1363.
Square, Angle Bisector, Perpendicular, 45 Degrees, Angle, Sketch, iPad Apps.

Problem 1338.
Four Squares, Diagonals, Angle, 45 Degrees, Areas.

Geometry Problem 1330.
Two Squares Side by Side, Parallel, 45, 90 Degrees.

Geometry Problem 1324.
Quadrilateral, Diagonal, 45 Degrees, Angle Bisector, Isosceles Triangle, Congruence.

Geometry Problem 1292.

Geometry Problem 1286.
Triangle, Quadrilateral, 60, 135, 105 Degree Angles, Congruence, Measurement.

Geometry Problem 1280.
Quadrilateral, Perpendicular Diagonals, Isosceles Right Triangles, 45 Degrees, Collinear Points.

Geometry Problem 1211
Right Triangle, Altitude, Angle Bisector, 45 Degrees.

Geometry Problem 1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean.

Geometry Problem 1110.
Right Triangle, External Squares, Catheti, Cathetus, Angle Bisector, 45 Degree, Internal Square.

Geometry Problem 1109.
Right Triangle, External Squares, Catheti, Cathetus, 45 Degree, Angle.

Geometry Problem 1084.
Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.

Geometry Problem 1076.
Square, 45 Degrees, Angle, Sum, Distance, Auxiliary Construction.

Geometry Problem 1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.

Geometry Problem 1014.
Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral.

Geometry Problem 986.
Triangle, Median, Midpoint, Equal Angles, 45 Degrees.

Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse.

Geometry Problem 975.
Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse.

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint.

Proposed Problem 367.
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity.

Proposed Problem 363.
Right triangle, Congruence, Angles.

Proposed Problem 354.
Rhombus, Square, 45 degrees.

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter.
45 degree angle.

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 degree angle.

Proposed Problem 303.
Triangle, Angle bisector of 90 degrees, 45 degree angle.

Proposed Problem 293.
Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity, 45 degree angle.

Proposed Problem 287: Regular Octagon. 45 degree angle.

Right Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean, hypotenuse, catheti (legs), semiperimeter, altitude, median, similar shapes areas, centers, orthocenter, incenter, centroid, circumcenter, radius, inradius, circumradius, exradius, circles, incircle, circumcircle, excircle.
45-45-90 Right triangle.

Octagons.45, 135 degree angle

Proposed Problem 276.
Square, 90 degree Arcs, Circle, Radius, 45 degree angle.

Proposed Problem 252.
Rectangle, isosceles right triangle, square, area. 45 degree angle.

Proposed Problem 244. Square, Diagonals, Centers, Distance, 45 degree angle.

Proposed Problem 239. Square, Midpoints, Lines, Congruence, Pythagoras, 45 degree angle.

Proposed Problem 189. Squares, Distances, 45 degree angle.

Proposed Problem 188. Square, Diagonal, 45 Degrees Angle.

Proposed Problem 187. Right Triangle, Altitude, Incenters, Circles, Angles, 45 degree angle.

Proposed Problem 186. Right Triangle, Altitude, Incenters, Circles, 45 degree angle.

Proposed Problem 186. Right Triangle, Altitude, Incenters, Circles, 45 degree angle.

Proposed Problem 182. Overlapping Circles, Find an angle, 45 degree angle.

Proposed Problem 181. Circular Sector of 90 degrees, 45-135 degree angle, find an angle.

Proposed Problem 179. Rhombus, Square, Diagonal, 45 degree angle.

Bottema's Theorem:
Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation,
45 degree angle.

Proposed Problem 112. Area of square and triangle, 45 degree angle.

Proposed Problem 109. Angles, Right Triangle, Cevian, 45 degree angle.

Proposed Problem 62: Square Diagonal, Inscribed Circle, 45 degree angle.

Hippocrates and Squaring the Circle
45 degree angle

Proposed Problem 47. Angles and triangles, 45 degree angle.

Proposed Problem 33.
45 degree angle.

Problem 31. Right Triangle, Incircle, Collinears, 45 degree angle.

Proposed Problem 29.
Right Triangle, altitude, incircle and inradius. Ten conclusions.
Geometry Problem Help 45-45-90 Right triangle

Proposed problem 19
Right Triangle and Excenter,
45 degree angle

Problem 3. Triangle, median and angles, 45 degree angle.

Problem 1. Triangle, median and angles, 45 degree angle.