GoGeometry

Geometry: Triangle and Squares, Theorems and Problems

College Geometry, SAT Prep, Degree online, Math tutoring

Triangles and Squares

A curated collection of geometry theorems and problems involving triangles and squares. Ideal for college geometry, SAT preparation, and math enrichment.

Theorems & Problems: Triangle and Squares

Geoboard for iPad: Pythagorean Theorem Proof by Leonardo

Dynamic Geometry Problem 1447: Outer Vecten Point

Geometry Problem 1622

Geometry Problem 1622: Outer Hexagon Formed by External Squares on a Triangle

Geometry problem 1282

Geometry Problem 1282: Three Squares, Common Vertex, Midpoint, Perpendicular

Geometry problem 1200

Geometry Problem 1200: Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas

Geometry problem 1199

Geometry Problem 1199: Equilateral Triangle, Square, Altitude, Circle, Inradius

Geometry problem 1198

Geometry Problem 1198: Right Triangle, Square, Rectangle, Quadrilateral, Equal Areas

Geometry problem 1197

Geometry Problem 1197: Four Squares, Four Triangles, Equal Areas

Geometry problem 1186

Geometry Problem 1186: Right Triangle, Square, Inscribed Circle, Tangent, Area

Geometry problem 1184

Geometry Problem 1184: Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines

Geometry problem 1160

Geometry Problem 1160: Triangle, Three Squares, Area, Equivalent Triangles

$Geometry problem 1124$

Geometry Problem 1124: Triangle, Median, Two Squares, Area

$Geometry Problem 1111$

Geometry Problem 1111: Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean

$Geometry Problem 1110$

Geometry Problem 1110: Right Triangle, External Squares, Catheti, Angle Bisector, 45 Degree, Internal Square

$Geometry Problem 1109$

Geometry Problem 1109: Right Triangle, External Squares, Catheti, 45 Degree Angle

$Geometry Problem 1108$

Geometry Problem 1108: Right Triangle, External Squares, Congruence, Harmonic Mean

$Geometry Problem 1004$

Geometry Problem 1004: Triangle with Squares, Perpendicular Bisectors, Concurrent Lines

Geometry Problem 902

Static & Dynamic Problem 902: Triangle, Four Squares, Center, Concurrent Lines

Square with Right triangles

Geometry Problem 608: Square with Right Triangles, Metric Relations, Congruence

Geoboard for iPad: Pythagorean Theorem Proof, Squares (Problem 540)

Right triangle, Square

Problem 540: Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras

Right triangle, Square

Problem 539: Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras

Right triangle, square

Problem 534: Right Triangle, Squares, Perpendicular, Dissection, Areas

Triangle, Three Squares

Problem 521: Triangle with three Squares, Altitude, Rectangle, Area

Triangle with six Squares

Problem 520: Triangle with six Squares, Ratio, Area

Triangle with Squares

Problem 519: Triangle, Squares, Altitude, Perpendicular, Rectangle, Area

Geometry problem 518

Problem 518: Parallelogram, Five Squares, Centers, 45 Degrees, Measure

Right triangle with six squares

Problem 517: Right Triangle, Six Squares, Areas

Triangle with five squares

Problem 514: Triangle, Five Squares, Line, Area

Triangle with squares

Problem 512: Triangle with three squares and concurrency

Triangle with three squares

Problem 510: Triangle, Three Squares, Midpoints, Concurrency

Triangle with three squares

Problem 508: Triangle with three Squares, Four triangles of equal Area

Triangle with Three Squares

Problem 506: Triangle with Three Squares, Center, Midpoint, Perpendicular

Triangle with Three Squares

Problem 503: Triangle with Three Squares, Perpendicular, Congruence, Concurrency

Triangle, Two Squares

Problem 502: Triangle, Two Squares, Midpoint, Perpendicular, Half the measure

Triangle, Two Squares

Problem 501: Triangle, Two Squares, Center, Midpoint, another Square

Triangle, Two Squares

Problem 499: Triangle, Two Squares, Perpendicular

Triangle, Two Squares

Problem 497: Triangle, Two Squares, Centers, Midpoint, 90 Degrees

Triangle with Squares

Problem 496: Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors

Square, Incircles

Problem 491: Square, Right Triangle, Incircle, Inscribed Circle, Radius

Square, Circles

Problem 485: Square, Side, Circles, Tangent, Radius, Measurement

Problem 484: Square, Angle, 90 degrees, Triangle, Measurement, Proportion

Square, Triangle

Problem 483: Square, Angle, 90 degrees, Measurement

Right triangle, Squares

Proposed Problem 459: Right triangle, Squares, Distance, Measurement

Proposed Problem 458: Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement

Triangle with squares

Proposed Problem 370: Triangle with squares, Circumcircles, Tangent circles

Square, 45 degrees

Proposed Problem 367: Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity

Square, Exterior point

Proposed Problem 357: Square, Exterior point, Triangles, Area

Square, Triangle

Proposed Problem 356: Square, Point inside, Triangles, Area

Rhombus, Square

Proposed Problem 354: Rhombus, Square, 45 degrees

Tangent circles

Proposed Problem 336: Two equal circles, a Common Tangent and a Square

Square, Inscribed Circle

Proposed Problem 331: Square, Point on the Inscribed Circle, Tangency Points

Area of a triangle

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

Proposed Problem 317: Right triangle and Inscribed Squares

Circular Segments

Proposed Problem 316: Circular segments and Inscribed Squares

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