Geometry: Area of a triangle, Theorems and Problems - Table of Content
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Geometry's realm,
Triangle's area unfolds,
Theorems guide us,
Challenging problems arise,
Wisdom gained, beauty revealed. |
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Heron's Formula.
Key facts and
a purely geometric
step-by-step proof. |
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Area of a Right Triangle, Theorems and Problems. |
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Varignon and Wittenbauer parallelograms. Quadrilateral: midpoints and
trisection points of the edges. Triangle areas.
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Routh's Theorem - Index
Triangle, Cevians, Area, Ratio.
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Marion Walter's Theorem and Related Topics:
Index |
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Geometry Problem 1546: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC |
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Geometry Problem 1545: Unlock the Geometric Mystery: Calculate the Area of Triangle ABC with Inscribed Circle and Excenters! |
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Geometry Problem 1544: Challenge: Calculate the Area of a Triangle with Given Arc and Semicircle Intersections. |
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Geometry Problem 1544: Challenge: Calculate the Area of a Triangle with Given Arc and Semicircle Intersections. |
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Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1464.
Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1463.
Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry Problem 1430. Regular Octagon, Area, Equivalent Figures,
Poster, Conformal Mapping. |
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Geometry Problem 1428. Intersecting Circles, Tangent Line, Triangle, Square, Area. |
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Geometry Problem 1426. Two Squares, Collinear Points, Triangle, Quadrilateral, Sum of the Areas. |
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Geometry Problem 1424. Triangle, Parallelogram, Trapezoid, Area, Diagonal, Measurement. |
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Geometry Problem 1423. Triangle, Area, Three Equal Angles, Circumradius, Measurement. |
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Geometry Problem 1422. Triangle, Transversal, Cevian, Area, Measurement. |
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Geometry Problem 1391. Two Triangles, Ratio of Areas, Circumcircle. |
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Geometry Problem 1381. Parallelogram, Exterior Point, Triangle, Area. |
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Geometry Problem 1345. Three Equilateral Triangles, Center, Area, Common Vertex. |
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Geometry Problem 1310.
Square, Center, Right Triangle, Area, Measurement. |
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Geometry Problem 1305.
Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area. |
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Geometry Problem 1296. Heron's Formula, Area of a
triangle in terms of the three
medians. |
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Geometry Problem 1288.
Triangle, 30-50-100 Degrees, Area, Inradius, Metric Relations, Measurement. |
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Geometry Problem 1287.
Triangle, 40-100-40 Degrees, Congruence, Area, Metric Relations, Measurement. |
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Geometry Problem 1279.
Parallelogram, Midpoint, Triangle, Area, 3/10. |
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Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement. |
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Geometry Problem 1252.
Triangle, Circle, Circumcircle, Altitude, Area, Hexagon, Perpendicular, 90 Degrees. Mind Map. |
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Geometry Problem 1249.
Cyclic Quadrilateral, Circle, Triangle, Circumcircle, Angle Bisector, Parallel Lines, Area. |
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Geometry Problem 1211
Right Triangle, Altitude, Angle Bisector, 45 Degrees, Metric
Relations, Area. |
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Geometry Problem 1208
Triangle, Circle, Excircle, Excenter, Diameter, Perpendicular, 90 Degrees, Equal Areas. |
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Geometry Problem 1201
Triangle, Interior Perpendicular Bisector, Midpoint, Area. |
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Geometry Problem 1200
Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas. |
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Geometry Problem 1198
Right Triangle, Square, Rectangle, Quadrilateral, Altitude, Equal Areas. |
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Geometry Problem 1197
Four Squares, Four Triangles, Equal Areas. |
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Geometry Problem 1192
Trapezoid, Triangle, Diagonal, Midpoint, Area, Parallel. |
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Geometry Problem 1188
Triangle, Parallelogram, Parallel Lines, Trapezoid, Area. |
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Geometry Problem 1187
Triangle, Quadrilateral, Midpoints, Area. |
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Geometry Problem 1186
Right Triangle, Square, Inscribed Circle, Tangent, Quadrilateral, Area. |
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Geometry Problem 1171
Area of a Triangle in terms of the three altitude or
heights ha, hb, hc. |
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Geometry Problem 1170
Area of a Triangle in terms of the three sides, a-b-c. |
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Geometry Problem 1160.
Triangle, Three Squares, Area, Equivalent Triangles. |
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Geometry Problem 1155.
Right Triangle, Altitude, Incenter, Incircle, Area. |
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Geometry Problem 1131.
Triangle Area, Two Cevians, Equal Product of Areas. |
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Geometry Problem 1124.
Triangle, Median, Two Squares, Area. |
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Geometry Problem 1123.
Hexagon, Triangle, 90 Degrees, Perpendicular Lines, Vertices, Area. |
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Geometry Problem
1112.
Triangle, Excenters, Circumcircle, Circle, Hexagon, Area. |
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Geometry Problem
1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean. |
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Geometry Problem
1091.
Square, Perpendicular, Distance, Area, Center. |
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Geometry Problem
1089.
Square, Semicircle, Tangent, Triangle, Area. |
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Geometry Problem
1082.
Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area. |
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Geometry Problem
1058.
Triangle, Sum of the Areas, Altitude, Perpendicular, Circumcircle, Circle, Diameter. |
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Geometry Problem
1057.
Triangle, Area, Circle with Perpendicular Diameters, Tangent, Secant. |
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Geometry Problem
1055.
Triangle, Altitude, Perpendicular, Area, Circumradius, Circle. |
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Geometry Problem
1051.
Triangle, Square, Semicircle, Arc, Area. |
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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
1035.
Triangle, Three equal Incircles, Tangent lines, Equivalent triangles, Equal area. |
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Geometry Problem
1033.
Triangle, Angle Obtuse, Circumcircle, Diameter, Area. |
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Geometry Problem 983.
Regular Hexagon, A point and six triangles, Areas. |
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Geometry Problem 982.
Triangle, Excenters, Excentral Triangle, Circumcenter, Area, Hexagon. |
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Geometry Problem 981.
Triangle, Concurrent Cevians, Midpoints, Area, Hexagon. |
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Geometry Problem 969.
Equilateral Triangle, Rectangle, Common Vertex, Right Triangles Areas. |
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Geometry Problem 962.
Triangle, Two Cevians, Areas, Equal Products. |
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Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.
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Geometry Problem 880
Triangle, Midpoints, Sides, Perpendiculars, Hexagon, Area. |
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Geometry Problem 876
Equilateral Triangle, any Point, Perpendicular, Right Triangle Area, Sum of Areas. |
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Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence. |
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Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines. |
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Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area. |
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Post a comment | by Antonio Gutierrez
Last updated:
Jun 29, 2023
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