Triangles: Theorems and Problems 15
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![Triangles](../geometry/triangles_index_17.jpg) |
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![Complete quadrilateral, Circles](../problem/p564_quadrilateral_circle_1.jpg) |
Problem
564.
Complete Quadrilateral, Incenter, Excenter, Concyclic Points, Incircle, Excircle. |
![Math Education: Triangle, Incenter](../problem/p562_triangle_incircle_1.jpg) |
Problem
562.
Triangle, Cevian, Incenter, Perpendicular, Concyclic Points, Cyclic
Quadrilateral. |
![Triangle, Cevian, Incenters, 90 Degrees](../problem/p561_triangle_incircle_1.jpg) |
Problem
561.
Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent. |
![Triangle, Cevian, Incircles](../problem/p560_triangle_incircle_1.jpg) |
Problem
560.
Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent. |
![Triangle, Incenter, 90 Degrees](../problem/p559_triangle_incenter_1.jpg) |
Problem
559.
Triangle, Cevian, Incenters, Angle, 90 Degrees. |
![Triangle, Circumcircles, Circumcenters, Concyclic](../problem/p548_triangle_circumcenters.jpg) |
Problem
548.
Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points,
Similarity. |
![Triangle, Four circumcircles](../problem/p547_triangle_circumcircles.jpg) |
Problem
547.
Triangle, Transversal, Four Circumcircles, Concurrency. |
![Triangle, Angle Trisectors, Equilateral](../problem/p546_triangle_trisector_1.jpg) |
Problem
546.
Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle. |
![Acute Triangle with altitudes and squares](../problem/p545_acute_triangle_1.jpg) |
Problem
545.
Acute Triangle, Squares, Altitudes, Area, Measure. |
![Right triangle, Square, Area](../pythagoras/p540_right_triangle_area_1.jpg) |
Problem
540.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. |
![Right triangle, Square, Area](../pythagoras/p539_right_triangle_area_1.jpg) |
Problem
539.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. |
![Triangle, Circumcircle, Perpendicular Bisector](../problem/p538_triangle_circle_1.jpg) |
Problem
538.
Triangle, Perpendicular Bisector, Circumcircle, Midpoint. |
![Sawayama - Thebault Theorem](../problem/p535_sawayama_thebault_1.jpg) |
Problem
535.
Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Center, Tangent,
Collinear. |
![Right triangle, square, area](../problem/p534_right_triangle_area_1.jpg) |
Problem
534.
Right Triangle, Squares, Perpendicular, Dissection, Areas. |
![Triangle, Area](../problem/p532_triangle_area_1.jpg) |
Problem 532.
Triangle, Circumcircle, Equal Angles, Perpendicular, Area. |
![Triangle, Semiperimeter](../problem/p531_triangle_semiperimeter.jpg) |
Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter. |
![Triangle, Medians, Perpendicular](../problem/p528_triangle_medians_1.jpg) |
Problem 528.
Triangle, Medians, Perpendicular, Measurement. |
![Equilateral triangle, Circumcircle](../problem/p526_equilateral_triangle_1.jpg) |
Problem 526.
Equilateral Triangle, Circumcircle, Chord, Measurement. |
![Circle with equilateral triangles](../problem/p524_circle_equilateral_tri.jpg) |
Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement. |
![Geometry Problem: Right triangle, Circle, Tangent](../problem/p522_triangle_circle_1.jpg) |
Problem 522.
Right Triangle, Circle, Diameter, Tangent. |
![Triangle, Three Squares, Altitude, Area](../problem/p521_triangle_squares_area.jpg) |
Problem
521.
Triangle with three Squares, Altitude, Rectangle, Area. |
![Triangle with six Squares](../problem/p520_six_squares_triangle.jpg) |
Problem
520.
Triangle with six Squares, Ratio, Area. |
![Triangle with Squares and Rectangles](../problem/p519_triangle_square_area_1.jpg) |
Problem
519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. |
![Right triangle with six squares](../problem/p517_squares_triangle_1.jpg) |
Problem
517.
Right Triangle, Six Squares, Areas. |
![Triangle, Cevian, Congruence, Angles](../problem/p516_triangle_angle_cevian.jpg) |
Problem
516.
Triangle, Cevian, Congruence, Angles. |
![Triaangle, Double-angle, Altitude](../problem/p515_triangle_double_angle.jpg) |
Problem
515.
Triangle, Double Angle, Altitude, Measure. |
![Triangle with five squares](../problem/p514_squares_triangle_1.jpg) |
Problem
514.
Triangle, Five Squares, Line, Area. |
![Geometry problem Triangle with double angle](../problem/p513_triangle_double_angle.jpg) |
Problem
513.
Triangle, Double Angle, Exterior Angle Bisector, Measure. |
![Triangle with squares problem](../problem/p512_triangle_square_1.jpg) |
Problem
512.
Triangle with three squares and concurrency. |
![Online education: Geometry Problem 511](../problem/p511_triangle_double_angle.jpg) |
Problem
511.
Triangle, Double Angle, Angle Bisector, Measure. |
![Triangle, 120 Degrees, Angles, Congruence, Mind Map](../problem/p509_triangle_120_degrees_1.jpg) |
Problem
509.
Triangle, 120 Degrees, Angles, Congruence, Mind Map. |
![Triangle with three squares](../problem/p508_triangle_square_area_1.jpg) |
Problem
508.
Triangle with three Squares, Four triangle of equal Area. |
![Triangle, 120 Degrees, Congruence, Angle](../problem/p507_triangle_120_degrees_1.jpg) |
Problem
507.
Triangle, Interior Point, 120 Degrees, Congruence, Angle. |
![Right triangle, Cevian, Angles](../problem/p505_right_triangle_angle_1.jpg) |
Problem
505.
Right Triangle, Cevian, Sum of Segments, Angles. |
![Equilateral Triangle, Angles, 45, 60 Degrees](../problem/p504_equilateral_triangle.jpg) |
Problem
504.
Equilateral Triangle, Angles, 45, 60 Degrees. |
![Triangle, Angle Bisector, Double Angle](../problem/p498_triangle_bisector_1.jpg) |
Problem 498.
Triangle, Angle Bisector, Double Angle, Measure. |
![Triangle, Two Squares, Centers, Midpoint, 90 Degrees](../problem/p497_triangle_squares_1.jpg) |
Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees. |
![Triangle with Squares, 90 degrees](../problem/p496_triangle_squares_1.jpg) |
Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors. |
![Triangle with 120 degrees](../problem/p495_triangle_120_degrees_1.jpg) |
Problem 495.
Triangle, 120 Degrees, Angle Bisectors. |
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