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SSS Similarity

State the SSS...

Question

State the SSS-criterion for similarity of triangles.

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Solution

SSS similarity : If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Example : In ΔXYZ and ΔLMN,
XY = LM, YZ = MN and XZ = LN then
ΔXYZ ~ ΔLMN by SSS criteria.

Two triangles XYZ and LMN such that

$fraction numerator X Y over denominator L M end fraction equals fraction numerator Y Z over denominator M N end fraction equals fraction numerator X Z over denominator L N end fraction$ Then the two triangles are similar by SSS similarity

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