Triangles: Theorems and Problems 20
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![Triangles](../geometry/triangles_index_17.jpg) |
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![Triangle, Incircle, Parallel, Midpoint](../problem/p328_triangle_incircle_17.jpg) |
Proposed Problem
328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint. |
![Equilateral triangle and semicircle](../problem/p326_equilateral_triangle_1.jpg) |
Proposed Problem
326.
Equilateral triangle, Semicircle, Equal arcs. |
![Area of a triangle](../problem/p322_triangle_area_17.jpg) |
Proposed Problem
322.
Square, Inscribed circle, Tangent, Triangle area. |
![Triangle, Incenter, Excircle, Altitude, Collinear](../problem/p321_triangle_collinear_17.jpg) |
Proposed Problem
321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity. |
![Triangle, Circumcenter, Incenter, Excenter, Collinear](../problem/p320_triangle_incenter_17.jpg) |
Proposed Problem
320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points. |
![Triangle, Altitude](../problem/p319_triangle_altitudes_17.jpg) |
Proposed Problem
319.
Triangle, Altitudes, Perpendiculars, Collinear points. |
![Elearning 318](../problem/p318_triangle_squares_17.jpg) |
Proposed Problem
318.
A Scalene triangle, Altitudes, Collinear points. |
![Elearning 317 Right triangle](../problem/p317_triangle_squares_17.jpg) |
Proposed Problem
317.
Right triangle and Inscribed Squares. |
![Triangle, Parallel, Congruence, Similarity](../problem/p292_triangle_parallel_17.jpg) |
Proposed Problem 292.
Triangle, Parallel, Congruence, Similarity. |
![Triangle, Circle, Radius, Perpendicular](../problem/p291_triangle_circle_17.jpg) |
Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular. |
![Euclid Elements Book X, Lemma for Proposition 33](../geometry/euclid_book_x_33_17.jpg) |
Euclid's
Elements, Book X, Lemma for Proposition 33
One page visual illustration. |
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Proposed Problem 287:
Regular Octagon. Triangles |
![Octagon, Square](../problem/p286_square_octagon_17.jpg) |
Proposed Problem 286:
Square, Midpoints, Octagon.
Triangles |
![Right triangle, Cevian, Perpendicular, Angles](../problem/p282_right_triangle_17.jpg) |
Proposed Problem
282.
Right Triangle, Cevian, Angles, Perpendicular, Congruence. |
![Triangle, Angles](../problem/p281_triangle_angle_17.jpg) |
Proposed Problem
281.
Triangles, Angles, Isosceles, Equilateral. |
![Elearning 279: Tangent circles](../problem/p279_tangent_circles_17.jpg) |
Proposed Problem
279.
Tangent Circles, Common External Tangent, Chords, Inradius, Triangle. |
![Square, Circle, 90 Arc](../problem/p276_square_circle_17.jpg) |
Proposed Problem
276.
Square, 90 degree Arcs, Circle, Radius, Triangle. |
![Isoscele triangle 80-80-20](../problem/p274_triangle_80_20_17.jpg) |
Proposed Problem
274.
Isosceles Triangle, 80-80-20, Angles. |
![Problem 273 Triangle and Squares](../problem/p273_triangle_square_17.jpg) |
Proposed Problem
273.
Triangle, Perpendiculars, Area of Squares. |
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Proposed Problem
270.
Tangent Circles, Common external tangent, Fractional exponents. |
![Right triangle, Altitude, perpendiculars](../problem/p269_right_triangle_altitud.jpg) |
Proposed Problem
269.
Right Triangle, Altitude, Perpendicular, Projection. |
![Right triangle, Altitude, Catheti](../problem/p268_right_triangle_altitud.jpg) |
Proposed Problem
268.
Right Triangle, Catheti and Altitude. |
![Right triangle, Catheti product](../problem/p267_right_triangle_17.jpg) |
Proposed Problem
267.
Right Triangle, Product of Catheti. |
![Right triangle, Altitude, Geometric Mean](../problem/p266_right_triangle_17.jpg) |
Proposed Problem
266.
Right Triangle, Altitude, Geometric Mean. |
![Pythagorean Theorem](../problem/p265_pythagoras_theorem_17.jpg) |
Proposed Problem
265.
Right Triangle, Pythagorean Theorem. |
![Right triangle](../problem/p264_right_triangle_17.jpg) |
Proposed Problem
264.
Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean. |
![Problem 263: Triangle, Median Projection](../problem/p263_triangle_median_17.jpg) |
Proposed Problem
263.
Triangle, Median, Altitude, Orthogonal Projection, Sides. |
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