Rule: A triangle is determined if one knows two angles and the length of the side between them.

  • This property is called Angle-Side-Angle (ASA)
  • Two triangles are congruent if а pair of corresponding angles and the side between them are equal.

Example: Interactivity: Triangle with ASA    Directions for interactivity

In the interactivity, click and drag the sliders for \alpha , c and \beta .
Only "one" triangle exists with the given characteristics, that is, all "such" triangles are congruent.
Click and drag point A to move and point B to rotate (the triangles are congruent).
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Example: Interactivity: Construct a triangle with ASA  

In the interactivity space below, construct a triangle with angle \alpha , side c and angle \beta (ASA).

If needed: Directions

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Page last modified on March 07, 2008, at 07:31 AM