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Triangles – Basics and Theorems

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Basics 3 Topics
What are Triangles?
What are the Different Regions of a Triangle?
What are the Different Types of Triangles?
Sum of the Angles of a Triangle 7 Topics
What is the Sum of the Angles of a Triangle?
How does the Sum of Angles of a Triangle measure 180 degrees?
Can a Triangle have More than One Right Angle?
What is the Measure of each Angle of an Equilateral Triangle?
Given their Ratio; how do we Find the Measures of the Angles of a Triangle?
Sum of Angles of a Triangle – An Example
What is the Sum of Angles of a Quadrilateral?
Area of Triangle 2 Topics
What is the Area of a Triangle? Part 1
What is the Area of a Triangle? Part 2
Exterior Angle 2 Topics
What is the Relation of an Exterior Angle of a Triangle with its Interior Angles?
Exterior Angles of a Triangle – Example
Triangle Inequality Theorem 3 Topics
What is the Triangle Inequality Theorem?
Triangle Inequality Theorem – Example
Sum of Lengths of the Sides of a Triangle is Greater than Twice the Length of the Side joining a Vertex to the Opposite Side
Pythagoras' Theorem? 8 Topics
What is (a+b) the Whole Squared?
What is the Pythagoras’ Theorem?
How do we Derive the Pythagoras’ Theorem? Part 1
How do we Derive the Pythagoras’ Theorem? Part 2
How do we Derive the Pythagoras’ Theorem? Part 3
Which is the Longest Side in a Right Triangle?
What is the Shortest Distance to a Line from a Point not on that Line?
Pythagoras’ Theorem – An Example
Correspondence 3 Topics
Correspondence between Vertices of Two Triangles
What is Correspondence?
Correspondence between Sides and Angles
Congruence 4 Topics
What are Congruent Figures?
When are Two Triangles Congruent?
Correspondence between Vertices of Congruent Triangles
Correspondence between Sides and Angles of Congruent Triangles
Congruence - Congruence Conditions 22 Topics
What is the SSS Condition for Congruence?
SSS Congruence Condition – Example
What is the SAS Condition for Congruence?
What is the ASA Condition for Congruence?
What is the RHS Condition for Congruence?
What is the Area of an Equilateral Triangle? Part 1
What is the Area of an Equilateral Triangle? Part 2
What is Heron’s Formula?
Heron’s Formula – An Example
SAS Congruence Condition – Axiom
SAS Construction
What is the ASA Congruence Condition?
How do we Prove the ASA Congruence Condition?
What is the AAS Congruence Condition?
How do we prove the AAS Congruence Condition?
What is the Isosceles Triangle Theorem? How do we Prove it?
What is the Converse of the Isosceles Triangle Theorem?
How do we Prove the Converse of the Isosceles Triangle Theorem?
What is the SSS congruence condition?
How do we prove the SSS Congruence Condition?
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30-60-90 Triangle Theorem 4 Topics
What is the 30-60-90 Triangle Theorem?
How do we Prove the 30-60-90 Triangle Theorem?
What is the Converse of the 30-60-90 Triangle Theorem?
How do we Prove the Converse of the 30-60-90 Triangle Theorem?
Median drawn to the Hypotenuse 2 Topics
What is the Length of the Median Drawn to the Hypotenuse?
How do we Prove that the Median Drawn to the Hypotenuse is Half the Length of the Hypotenuse?
Perpendicular Bisector Theorem 4 Topics
What is the Perpendicular Bisector Theorem?
How do we Prove the Perpendicular Bisector Theorem?
What is the Converse of the Perpendicular Bisector Theorem?
How do we Prove the Converse of the Perpendicular Bisector Theorem?
Angle Bisector Theorem 4 Topics
What is the Angle Bisector Theorem?
How do we Prove the Angle Bisector Theorem?
What is the Converse of the Angle Bisector Theorem?
How do we Prove the Converse of the Angle Bisector Theorem?
Angles Opposite the Greater Side 2 Topics
What is the Relation between Angles Opposite Unequal Sides in a Triangle?
How do we Prove that the Angle Opposite the Greater Side in a Triangle is Greater?
Sides Opposite the Greater Angle 2 Topics
What is the Relation Between Sides Opposite Unequal Angles in a Triangle?
How do we Prove that the Side Opposite the Greater Angle in a Triangle is Greater?
Hypotenuse 2 Topics
Which is the Longest Side in a Right Triangle?
What is the Shortest Segment Theorem?
Sum of Two Sides Greater than the Third 2 Topics
Is the Sum of Lengths of Two Sides of a Triangle Always Greater than that of the Third Side?
Prove that the Sum of Lengths of Two Sides of a Triangle is Always Greater than that of the Third Side?
Angle Bisector 1 Topic
Angle Bisectors in a Triangle
Perpendicular Bisector 2 Topics
Perpendicular Bisectors in a Triangle
Does the Circumcentre Always Lie Inside the Triangle?
Medians 3 Topics
What are Medians?
What are Medians? (In depth)
How do Medians Divide a Triangle?
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What are Triangles?

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