Geometry: Perimeter, Semiperimeter,
Theorems and Problems- Table of
Content
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Geometry
Problem 1510 and Poem.
Congruence of Triangles, Perimeter, Measurement. Difficulty Level: High School. |
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Geometry Problem
1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length. |
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Geometry Problem
1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii. |
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Geometry Problem
1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter. |
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Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter. |
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Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence. |
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Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence. |
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Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
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Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
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Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter. |
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Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence. |
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Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
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Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
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Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter. |
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Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter. |
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Proposed Problem 344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter. |
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Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter. |
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Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter. |
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Proposed Problem 341.
Triangle, Inscribed circle, Tangent, Semiperimeter. |
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Proposed Problem 202. Right Triangle, Incircle, Excircles relatives
to catheti, Points of Tangency, Exradius, Semiperimeter. |
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Proposed Problem 201.
Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter. |
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Proposed Problem 194. Area of a
Triangle, Semiperimeter, Exradius. |
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Proposed Problem 193. Area of a
Triangle, Semiperimeter, Inradius. |
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Proposed
Problem 146. Varignon's Theorem:
Quadrilateral, Midpoints, Parallelogram, Area, Perimeter. |
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Proposed Problem 141. Triangle,
Incircle, Tangent , Parallel, Perimeters. |
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Proposed Problem 140. Triangle,
Excircle, Tangent, Semiperimeter. |
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Proposed Problem 139. Triangle
Area, Orthic Triangle, Semiperimeter, Circumradius. |
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Proposed Problem 61:
Triangle, Trisection of Sides, Perimeter. |
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Problem 51:
Fagnano's Problem
Inscribed Triangle with the Minimum Perimeter. |
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Semiperimeter and excircles of a triangle.
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Semiperimeter and incircle of a triangle. |
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Semiperimeter, incircle and excircles of a triangle.
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Heron's Formula.
Key facts and
a purely geometric
step-by-step proof. Perimeter, Semiperimeter. |
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Post a comment | Email | By
Antonio Gutierrez
Feb 23, 2023
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