two Triangles are equal to each other prove that they are similar
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Use the theorem that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides , then prove that they are congruent. → ∆ABC ~ ∆DEF such that ar(∆ABC) = ar( ∆DEF) . ... [ by SSS-congruency ] . Hence, it is proved
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Two triangles are equal to each other means they are congruent.
This means they have angles of the same value and side of the same length.
For example, consider 2 triangles ABC and DEF
Refer the attachment below.
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