side-side-side (sss) similarity criterion for two triangles

"If the three sides (SSS) of a triangle are proportional to the corresponding three sides (SSS) of another triangles, then their corresponding angles (AAA) are equal".

       In \[ \Delta les \] ABC and DEF

if \[\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{FD}\]

then  \[B\hat{A} C=E\hat{D} F\]

         \[A \hat{B} C=D \hat{E} F\]

         \[B\hat{C}A=E\hat{D} F\]

  i.e., \[ \Delta les \] are equiangular.

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