Triangles: Theorems and Problems 20




Proposed Problem
328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint. 

Proposed Problem
326.
Equilateral triangle, Semicircle, Equal arcs. 

Proposed Problem
322.
Square, Inscribed circle, Tangent, Triangle area. 

Proposed Problem
321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity. 

Proposed Problem
320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points. 

Proposed Problem
319.
Triangle, Altitudes, Perpendiculars, Collinear points. 

Proposed Problem
318.
A Scalene triangle, Altitudes, Collinear points. 

Proposed Problem
317.
Right triangle and Inscribed Squares. 

Proposed Problem 292.
Triangle, Parallel, Congruence, Similarity. 

Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular. 

Euclid's
Elements, Book X, Lemma for Proposition 33
One page visual illustration. 

Proposed Problem 287:
Regular Octagon. Triangles 

Proposed Problem 286:
Square, Midpoints, Octagon.
Triangles 

Proposed Problem
282.
Right Triangle, Cevian, Angles, Perpendicular, Congruence. 

Proposed Problem
281.
Triangles, Angles, Isosceles, Equilateral. 

Proposed Problem
279.
Tangent Circles, Common External Tangent, Chords, Inradius, Triangle. 

Proposed Problem
276.
Square, 90 degree Arcs, Circle, Radius, Triangle. 

Proposed Problem
274.
Isosceles Triangle, 808020, Angles. 

Proposed Problem
273.
Triangle, Perpendiculars, Area of Squares. 

Proposed Problem
270.
Tangent Circles, Common external tangent, Fractional exponents. 

Proposed Problem
269.
Right Triangle, Altitude, Perpendicular, Projection. 

Proposed Problem
268.
Right Triangle, Catheti and Altitude. 

Proposed Problem
267.
Right Triangle, Product of Catheti. 

Proposed Problem
266.
Right Triangle, Altitude, Geometric Mean. 

Proposed Problem
265.
Right Triangle, Pythagorean Theorem. 

Proposed Problem
264.
Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean. 

Proposed Problem
263.
Triangle, Median, Altitude, Orthogonal Projection, Sides. 
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