Triangles: Theorems and Problems 10
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![Triangles](../geometry/triangles_index_17.jpg) |
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![Square, Circle, Angle](../problem/p752-square-circle-angle-1.jpg) |
Geometry Problem 752.
Square, Circle, Tangent, Chord, Angle. |
![Parallelogram, COngruence, Angle Bisector](../problem/p751-parallelogram-congruence-angle-bisector-1.jpg) |
Geometry Problem 751.
Parallelogram, Congruence, Intersecting Lines, Angle
Bisector. |
![Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity](../problem/p750-complete-quadrilateral-diagonal-parallel-metric-relations-1.jpg) |
Geometry Problem 750.
Complete Quadrilateral, Triangle, Diagonal, Parallel,
Similarity, Metric Relations. |
![Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular](../problem/p749-triangle-rhombus-harmonic-mean-1.jpg) |
Geometry Problem 749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric
Relations. |
![Quadrilateral, 90 Degrees, Perpendicular](../problem/p748-quadrilateral-90-degrees-perpendicular-metric-relations-1.jpg) |
Geometry Problem 748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric
Relations. |
![Trapezoid, Parallel, Harmonic Mean](../problem/p747-trapezoid-diagonal-parallel-similarity-harmonic-mean-1.jpg) |
Geometry Problem 747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity,
Harmonic Mean, Metric Relations. |
![Triangle, Parallel, Similarity, Harmonic Mean](../problem/p746-triangle-cevian-parallel-similarity-metric-relations-1.jpg) |
Geometry Problem 746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean,
Metric Relations. |
![Circle, Chord, Congruence, 90 Degrees](../problem/p745-circle-chord-congruence-90-degrees-1.jpg) |
Geometry Problem 745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric
Relations. |
![Parallelogram, Circle, Chord](../problem/p744-parallelogram-circle-diameter-chord-congruence-1.jpg) |
Geometry Problem 744.
Parallelogram, Circle, Diameter, Chord, Congruence,
Triangle, Metric Relations. |
![Trapezoid, Triangle, Perpendicular, Angle](../problem/p743-trapezoid-triangle-perpendicular-angle-1.jpg) |
Geometry Problem 743.
Trapezoid, Triangle, Perpendicular, Parallel, Angle |
![Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint](../problem/p742-circumradius-orthocenter-centroid-midpoint-distance-1.jpg) |
Geometry Problem 742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter,
Circumradius, Midpoint, Distance, Square, Metric Relations. |
![Triangle, Incenter, Circumcircle](../problem/p741-triangle-incenter-circumcircle-midpoint-arc-chord-congruence-1.jpg) |
Geometry Problem 741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc,
Congruence. |
![Scalene, Isosceles Triangle, Angles](../problem/p740-isosceles-triangle-exterior-angle-problem-1.jpg) |
Geometry Problem 740.
Scalene Triangle, Angle, Semi-sum, Cevian, Isosceles
Triangle. |
![Triangle, Double Angle](../problem/p739_triangle_bisector_1.jpg) |
Geometry Problem 739.
Triangle, Double Angle, External Angle Bisector. Congruence. |
![Triangle, Altitude, Angle, geometry problem](../problem/p736_triangle_altitude_1.jpg) |
Geometry Problem 736.
Triangle, Altitude, Perpendicular, Angles, Cyclic
Quadrilateral. |
![Orthic triangle, geometry problem](../problem/p735_triangle_orthic_1.jpg) |
Geometry Problem 735.
Triangle, Altitude, Perpendicular, Semiperimeter of the
Orthic Triangle, Congruence. |
![Triangle, Median, Isosceles, Congruence, Parallel](../problem/p734_triangle_median_1.jpg) |
Geometry Problem 734.
Triangle, Isosceles, Median, Parallel, Angle Bisector,
Congruence, Midpoint. |
![Triangle, Orthocenter, Line Reflection, Concurrency](../problem/p733_triangle_reflection_1.jpg) |
Geometry Problem 733.
Triangle, Orthocenter, Altitude, Reflection in a line,
Circumcircle, Concurrency. |
![Orthic triangle, Orthocenter, Congruence](../problem/p732_orthic_triangle_1.jpg) |
Geometry Problem 732.
Triangle, Altitude, Orthic Triangle, Orthocenter,
Congruence, Parallelogram. |
![Cyclic quadrilateral, Orthocenter, Parallelogram](../problem/p731_cyclic_quadrilateral1.jpg) |
Geometry Problem 731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude,
Perpendicular, Parallelogram. |
![Triangle, Altitude, Perpendicular, Concurrent](../problem/p730_triangle_altitude_1.jpg) |
Geometry Problem 730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent
Lines. |
![Triangle, Orthocenter, Circumcircle](../problem/p729_triangle_orthocenter1.jpg) |
Geometry Problem 729.
Triangle, Altitude, Orthocenter, Circumcircle,
Perpendicular, Midpoint. |
![Triangle, Circle, Concurrency](../problem/p728_triangle_concurrent_1.jpg) |
Geometry Problem 728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint,
Intersecting Circles, Concurrency. |
![Triangle, Angles](../problem/p727_triangle_angles_1.jpg) |
Geometry Problem 727.
Triangle, Isosceles, Congruence, Angles, Measurement. |
![Isosceles Triangle, Perpendicular, Midpoint](../problem/p726_triangle_90_degrees_1.jpg) |
Geometry Problem 726.
Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees. |
![Triangle, Orthocenter, Circumcircle, Collinear](../problem/p721_altitude_collinear_1.jpg) |
Geometry Problem 721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear
points. |
![Triangle, Altitudes, Parallel, Circumcircle, Angle](../problem/p715_triangle_altitudes_1.jpg) |
Geometry Problem 715.
Triangle, Altitudes, Parallel, Circumcircle, Angle,
Measurement. |
![Triangle, Parallel, Concurrent, Ceva, Midpoint](../problem/p714_triangle_parallel_1.jpg) |
Geometry Problem 714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva
Theorem. |
![Tangent Circles, Incenter, Chord](../problem/p713_tangent_circles_1.jpg) |
Geometry Problem 713.
Tangent Circles, Diameter, Chord, Tangent, Incenter,
Incircle, Triangle. |
![Semicircles, Tangent, Perpendicular, Angle](../problem/p712_tangent_circles_1.jpg) |
Geometry Problem 712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure,
Triangle. |
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