SSS Similarity Formula

SSS similarity formula is,

(Side 1 of triangle 1)/(Side 1 of triangle 2) = (Side 2 of triangle 1)/(Side 2 of triangle 2) = (Side 3 of triangle 1)/(Side 3 of triangle 2) = constant

The symbol ‘’ stands for ‘is similar to’.

Say we have two triangles, ΔABC and ΔXYZ.

According to SSS similarity criterion,

SSS Similarity Condition

if PQ/ED = QR/DF = AC/XZ then ΔABC ~ ΔXYZ.

From this result, we can can say that, ∠P = ∠E, ∠Q = ∠D and ∠R = ∠F

Side Side Side

Side-Side-Side or SSS is a fundamental rule in congruency of triangles. If the three sides of a triangle are equal to the corresponding three sides of any other triangle, then the two triangles are called congruent.

Table of Content

  • Definition of SSS
  • Congruence and Similarityof Triangle
  • What is SSS Congruence Rule?
  • SSS Congruence Rule Proof
  • SSS Similarity Condition
  • SSS Similarity Formula
  • How to Apply SSS Congruence Rule?

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