The SSS similarity theorem states that two triangles are similar triangles if their three pairs of
corresponding sides have proportional
lengths. Thus, if
then 
and 
are similar triangles. Unlike the SSS
theorem for congruent triangles, the SSS
similarity theorem requires corresponding side lengths to
be proportional rather than equal.
See also
SAS Similarity Theorem,
Similar Triangles,
SSS
Theorem,
Triangle Similarity Theorems
Explore with Wolfram|Alpha
References
Coxeter, H. S. M. and Greitzer, S. L. Geometry
Revisited. Washington, DC: Math. Assoc. Amer., 1967.
Cite this as:
Weisstein, Eric W. "SSS Similarity Theorem."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SSSSimilarityTheorem.html
Subject classifications
