Triangle
Definition

A triangle is a polygon with three sides and three angles.

Triangle

Information

Indicator marks for sides and angles in a triangle diagram.

Relationship between sides and angles.


Classification by Lengths of Sides

Classification by Angle Measure

Demonstration (Classification by Lengths of Sides and Classification by Angle Measure)
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Perimeter of a Triangle
Perimeter of a Triangle

Area of the Interior of a Triangle

b: The length of a base (side) of a triangle

a: The length of the altitude of the triangle (corresponding to the chosen base)

A: The area of the interior of the triangle (Explanation of formula).

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Click here to see an applet that demonstrates the area formula.


Other Components of Triangles

Right Triangles

Right triangles are labelled according to a chosen reference angle. The hypotenuse (h) is labelled first, then the legs are labelled as opposite (o) or adjacent (a), depending on which remaining angle is chosen as the reference angle.

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Right triangles are often solved using the following:


Non-Right Triangles

Non-right triangles are often solved using the following:

  • Angles in any triangle sum to 180°.
  • The cosine law.
  • The sine law.