Online Geometry

Triangles: Theorems and Problems 20

Triangles

Triangle, Incircle, Parallel, Midpoint

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

Equilateral triangle and semicircle

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

Area of a triangle

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

Triangle, Incenter, Excircle, Altitude, Collinear

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

Triangle, Circumcenter, Incenter, Excenter, Collinear

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

Triangle, Altitude

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

Elearning 318

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

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Triangle, Parallel, Congruence, Similarity

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

Triangle, Circle, Radius, Perpendicular

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

Euclid Elements Book X, Lemma for Proposition 33

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

Regular Octagon 

Proposed Problem 287: Regular Octagon. Triangles

Octagon, Square

Proposed Problem 286: Square, Midpoints, Octagon.
Triangles

Right triangle, Cevian, Perpendicular, Angles

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

Triangle, Angles

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

Elearning 279: Tangent circles

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

Square, Circle, 90 Arc

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

Isoscele triangle 80-80-20

Proposed Problem 274.
Isosceles Triangle, 80-80-20, Angles.

Problem 273 Triangle and Squares

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

Tangent circles, common tangent 

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

Right triangle, Altitude, perpendiculars

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

Right triangle, Altitude, Catheti

Proposed Problem 268.
Right Triangle, Catheti and Altitude.

Right triangle, Catheti product

Proposed Problem 267.
Right Triangle, Product of Catheti.

Right triangle, Altitude, Geometric Mean

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

Pythagorean Theorem

Proposed Problem 265.
Right Triangle, Pythagorean Theorem.

Right triangle

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

Problem 263: Triangle, Median Projection

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

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