similarity of triangles
Theorem . If a pair of sides of a triangle are proportional to a pair of sides in another triangle and if the angles included by the side-pairs are congruent, then the triangles are similar.
Theorem . If the sides of a triangle are proportional to the sides of another triangle, then the triangles are similar.
The AA theorem may be regarded as the definition of the similarity of triangles. In some texts, the AA theorem is assumed as a postulate. The other two theorems may be proved by using the law of cosines for determining the the ratios other sides (for ) and the angles.
|Title||similarity of triangles|
|Date of creation||2013-03-22 17:49:41|
|Last modified on||2013-03-22 17:49:41|
|Last modified by||pahio (2872)|