Online Geometry: Carnot's Theorem in an Obtuse Triangle

Classical Theorem
Click the figure below to see the complete classical theorem.

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Problem 594: Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Angle, Half the Difference

Geometry Problem
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Problem 591: Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude

Geometry Problem
Click the figure below to see the complete problem 591.


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Geometry Problems 451 - 460

Ten Geometry Problems
Click the figure below to see problems 451-460 about: Triangle, Rhombus, Median, Congruence, Proportion, Circle, Tangent, Intersection, Circular segment, Area, Incircle, Inradius, 45 Degrees, Chord, Secant.

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Level: High School, College geometry

Geometry Problems 351 - 360

Ten Geometry Problems
Click the figure below to see problems 351-360 about Rhombus, Common tangent, Tangential quadrilateral, Incircle, Inradii, 45 Degrees, Concyclic, Circle, Square, Area, Triangle, 80-80-20 Degrees.

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Level: High School, SAT Prep, College geometry

Geometry Problems 271-280: Circle, Quadrilateral, Square, Tangent, Cube, Triangle, Isosceles, Area, 90-80-80-20 Degrees, Circumcircle, Sagitta, Inradi

Ten Geometry Problems
Click the figure below to see problems 271-280 about Circles, Tangent, Cube, Triangle, Isosceles, Area, 80-80-20 Degrees, Circumcircle, Sagitta, Inradius, Square, 90, Chord, Quadrilateral, Perpendicular.

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Level: High School, SAT Prep, College geometry

Geometry Problems 211-220: Triangle, Quadrilateral, Rhombus, Circle, Area

Ten Geometry Problems
Click the figure below to see problems 211-220 about Equilateral triangle, Quadrilateral, Area, Cyclic Quadrilateral, 60 Degree, Angle Bisector, 120, incircle, Inradius, Semicircle, Tangent, Concurrency, Right triangle, Altitude, Projection, Rhombus, Perpendicular, Arithmetic Mean, Distance.

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Level: High School, SAT Prep, College geometry

Geometry Problems 201-210: Right Triangle, Incircle, Excircle, Area, Radius

Ten Geometry Problems
Click the figure below to see problems 201-210 about Right Triangle, Incircle, Excircle, Area, Points of Tangency, Inradius, Exradius, Semiperimeter, Hypotenuse, 360 Degrees, Angle.

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Problems 201-210

Level: High School, SAT Prep, College geometry

Geometry Problems 191-200: Triangle, Quadrilateral, Circle, Area, Perimeter

Ten Geometry Problems
Click the figure below to see problems 191-200 about Triangle, Circle, Square, Area, Diameter, Altitude, Orthocenter, Semiperimeter, Inradius, Exradius, Quadrilateral, Angle, Tangent, Right triangle.

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Problems 191-200

Level: High School, SAT Prep, College geometry

Geometry Problems 151-160: Triangle, Quadrilateral, Area, Circle, Similarity, Center

Geometry Problem
Click the figure below to see problems 151-160 about Triangle, Quadrilateral, Area, Trisection, Circle, Proportion, Diagonal, Chord,Inradius, Circumradius, Exradius, Euler, distance, Incenter, Circumcenter, Excenter, Incircle, Circumcircle.

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Problems 151-160

Level: High School, SAT Prep, College geometry

Geometry Problems 141-150: Triangle, Quadrilateral, Parallelogram, Similarity, Area

Geometry Problem
Click the figure below to see problems 141-150 about Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent, Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon, Trisection.

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Problems 141-150

Level: High School, SAT Prep, College geometry

Geometry Problems 81 - 90

Geometry Problem
Click the figure below to see problems 81-90 about Triangle, Quadrilateral, Circle, Incircle, Circumcircle, Excircle, Inradius, Circumradius, Exradius, Contact Triangle, Area, Midpoint.


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Problems 81-90

Level: High School, SAT Prep, College geometry

Geometry Problems 71-80: Cyclic Quadrilateral, Intersecting Circles, Area, Inradius

Geometry Problem
Click the figure below to see problems 71-80 about Cyclic Quadrilateral, Intersecting Circles, Area, Inradius, Incircle, Circular Sector, Parallel, Chord, Secant.


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Problems 71-80

Level: High School, SAT Prep, College geometry

Geometry Problems 21-30: Right triangle, Altitude, Incircle and inradius, Congruence, Circle

Geometry Problem
Click the figure below to see problems 21-30 about Right triangle, Altitude, Incircle and inradius, Congruence, Circle, Collinearity.


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Problems 21-30

Level: High School, SAT Prep, College geometry

Problem 454: Triangle, Incircle, Inradius, Tangent, Circle, Radius

Geometry Problem
Click the figure below to see the complete problem 454 about Triangle, Incircle, Inradius, Tangent, Circle, Radius.


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Complete Problem 454

Level: High School, SAT Prep, College geometry

Problem 447: Complete Quadrilateral, Inradii, Exradii, Sides.

Geometry Problem
Click the figure below to see the complete problem 447 about Complete Quadrilateral, Inradii, Exradii, Sides.


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Complete Problem 447
Level: High School, SAT Prep, College geometry

Problem 435: Triangle, Incircle, Inradius, Congruent circles, Tangent, Measurement

Proposed Problem
Click the figure below to see the complete problem 435 about Triangle, Incircle, Inradius, Congruent circles, Tangent, Measurement, Similarity.


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Complete Problem 435

Level: High School, SAT Prep, College geometry

Problem 419: Triangle, Cevian, Incircle, Excircle, Inradius, Exradius, Congruence

Proposed Problem
Click the figure below to see the complete problem 418 about Triangle, Cevian, Incircle, Excircle, Inradius, Exradius, Congruence.


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Complete Problem 419
Level: High School, SAT Prep, College geometry

Problem 418: Triangle, Incircle, Inradius, Equal Tangent circles, Radius

Proposed Problem
Click the figure below to see the complete problem 418 about Triangle, Incircle, Inradius, Equal Tangent circles, Radius.


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Complete Problem 418
Level: High School, SAT Prep, College geometry

Problem 353. Tangential quadrilateral, Diagonals, Incircles, Inradii

Proposed Problem
Click the figure below to see the complete problem 353 about Problem 353. Tangential quadrilateral, Diagonals, Incircles, Inradii.


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Complete Problem 353
Level: High School, SAT Prep, College geometry