Geometry: Perimeter, Semiperimeter,
Theorems and Problems- Table of
Content
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![Semiperimeter, Perimeter Index](semiperimeter_index_1.jpg) |
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![Geometry Problem 1510](../school-college/6/p1510-three-triangle-congruence-perimeter-measurement-poem-1.jpg) |
Geometry
Problem 1510 and Poem.
Congruence of Triangles, Perimeter, Measurement. Difficulty Level: High School. |
![Geometry Problem 1037](../school-college/1/p1037-triangle-3-equal-circles-incircle-inradius-length-1.jpg) |
Geometry Problem
1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length. |
![Geometry Problem 1036](../school-college/1/p1036-triangle-3-equal-circles-incircle-inradius-1.jpg) |
Geometry Problem
1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii. |
![Geometry Problem 1034](../school-college/1/p1034-triangle-3-equal-circles-incircle-isoperimetric-1.jpg) |
Geometry Problem
1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter. |
![Equilateral triangle, Perimeter](../problem/p754-equilateral-triangle-60-degrees-center-sum-1.jpg) |
Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter. |
![Orthic triangle, geometry problem](../problem/p735_triangle_orthic_1.jpg) |
Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence. |
![Triangle, Excircles, Tangent](../geometry/p686_excircles_tangent_1.jpg) |
Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence. |
![Outer Nagel Point](../geometry/p684_nagel_point_exterior_1.jpg) |
Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Nagel Point](../geometry/p683_nagel_point_interior_1.jpg) |
Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Triangle, Semiperimeter](../problem/p531_triangle_semiperimeter.jpg) |
Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter. |
![Triangle, Angle bisectors](../problem/p386_triangle_bisector_17.jpg) |
Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence. |
![Triangle, Angle bisectors](../problem/p385_triangle_bisector_17.jpg) |
Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
![Triangle, Angle bisectors](../problem/p384_triangle_bisector_17.jpg) |
Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
![Geometry Problem: Equal circles, Tangents, Hexagon](../problem/p346_circle_tangent_17.jpg) |
Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter. |
![Geometry Problem: Equal circles, Tangents](../problem/p345_circle_tangent_17.jpg) |
Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter. |
![Quadrilateral, Circle, Tangent](../problem/p344_quadrilateral_circle_1.jpg) |
Proposed Problem 344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter. |
![Hexagon, Inscribed Circle](../problem/p343_hexagon_circle_17.jpg) |
Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter. |
![Pentagon, Circle, Tangent,Semiperimeter](../problem/p342_pentagon_circle_17.jpg) |
Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter. |
![Triangle, inscribed circle, tangent](../problem/p341_triangle_circle_17.jpg) |
Proposed Problem 341.
Triangle, Inscribed circle, Tangent, Semiperimeter. |
![Problem 202 Right triangle, excircles](../problem/p202_right_triangle_circle_.jpg) |
Proposed Problem 202. Right Triangle, Incircle, Excircles relatives
to catheti, Points of Tangency, Exradius, Semiperimeter. |
![Elearn 201](../problem/p201_right_triangle_17.jpg) |
Proposed Problem 201.
Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter. |
![Area of a triangle, semiperimeter, exradius](../problem/p194_area_triangle_exradius.jpg) |
Proposed Problem 194. Area of a
Triangle, Semiperimeter, Exradius. |
![Area of a triangle, semiperimeter, inradius](../problem/p193_area_triangle_inradius.jpg) |
Proposed Problem 193. Area of a
Triangle, Semiperimeter, Inradius. |
![Quadrilateral Area, Midpoint](../problem/p146_quadrilateral_area_17.jpg) |
Proposed
Problem 146. Varignon's Theorem:
Quadrilateral, Midpoints, Parallelogram, Area, Perimeter. |
![Elearning 141](../problem/p141_four_triangles_incircl.jpg) |
Proposed Problem 141. Triangle,
Incircle, Tangent , Parallel, Perimeters. |
![Elearning 140](../problem/p140_triangle_excircle_17.jpg) |
Proposed Problem 140. Triangle,
Excircle, Tangent, Semiperimeter. |
![Elearning 139: Triangle Area](../problem/p139_area_triangle_17.jpg) |
Proposed Problem 139. Triangle
Area, Orthic Triangle, Semiperimeter, Circumradius. |
![](../problem/p061_mw_triangle_trisect_1.jpg) |
Proposed Problem 61:
Triangle, Trisection of Sides, Perimeter. |
![](../problem/p051_fagnano_triangle_170.jpg) |
Problem 51:
Fagnano's Problem
Inscribed Triangle with the Minimum Perimeter. |
![](../semiperimeter_excircle170.jpg) |
Semiperimeter and excircles of a triangle.
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![](../semiperimeter_incircle170.jpg) |
Semiperimeter and incircle of a triangle. |
![](../semiperimeter_in_exc170.jpg) |
Semiperimeter, incircle and excircles of a triangle.
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![](../heron/heron__proof_170x100.jpg) |
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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