Geometry Problem 1072: Triangle, Altitudes, Interior Point, Distance, Ratio

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

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Geometry Problem 1025: Triangle, Double, Triple, Angle, Interior Point

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

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Problem 507: Triangle, Interior Point, 120 Degrees, Congruence, Angle

Geometry Problem
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Level: High School, SAT Prep, College geometry

Points, Theorems and Problems

Index

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Points, Theorems and Problems

Problem 356. Square, Interior point, Triangles, Area

Proposed Problem
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Level: High School, SAT Prep, College geometry

Problem 339. Triangle, Angle Bisectors, Perpendiculars, Interior Point, Distances

Proposed Problem
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Level: High School, SAT Prep, College geometry

Problem 255: Triangle, Centroid, Vertices, Interior/Exterior Point, Distances, Squares

Proposed Problem


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gogeometry.com/problem/p255_triangle_centroid_squares_point_vertex.htm

Level: High School, SAT Prep, College geometry

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Problem 254: Triangle, Centroid, Vertices, Interior/Exterior Point, Distances, Squares

Proposed Problem


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gogeometry.com/problem/p254_triangle_centroid_squares_interior_point.htm

Level: High School, SAT Prep, College geometry

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Elearn Geometry Problem 225: Viviani Theorem Extension

Regular Polygon, Apothem, Distance
In a regular n-sided polygon, the sum of the perpendicular distances from an interior point to the n sides being n times the apothem of the polygon.



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gogeometry.com/problem/p225_viviani_theorem_regular_polygon.htm

Level: High School, SAT Prep, College geometry

Elearn Geometry Problem 221: Viviani Theorem

Equilateral Triangle, Interior Point
In an equilateral triangle, prove that the sum of the distances from any interior point to the sides is equal to the altitude of the triangle.



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gogeometry.com/problem/p221_viviani_theorem_equilateral_triangle.htm

Level: High School, SAT Prep, College geometry

Elearn Geometry Problem 169

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Parallelogram, Interior and Exterior Points, Diagonals, Pentagon, Triangles, Areas. Level: High School, SAT Prep, College geometry

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Elearn Geometry Problem 166

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www.gogeometry.com/problem/p166_parallelogram_triangle_area.htm

Parallelogram, Diagonal, Triangles, Areas. Level: High School, SAT Prep, College geometry

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Elearn Geometry Problem 153

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Circumscribed Quadrilateral, Diagonals Concurrent with Chords. Level: High School, SAT Prep, College geometry

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Pappus Theorem

Proposition
If six points 1,2,3,4,5, and 6, on two lines are joined as shown, then their points of intersection A, B, and C are collinear.



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Level: High School, SAT Prep, College geometry

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Geometry Problem 103

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Triangle, Angles, Midpoint, Congruence. Level: High School, SAT Prep, College geometry

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Geometry Problem 102

Try to use elementary geometry (Euclid's Elements).




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Triangle, Angles, Midpoint, Congruence. Level: High School, SAT Prep, College geometry

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