Question

If the areas of two similar triangles are equal, then prove that they are congruent ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given that:

ar△ABC=ar△DEF

Prove that:

△ABC≅△DEF

Proof:

Two triangles ABC and DEF are shown in figure.

ar△ABC=ar△DEF (given)

ar△DEF

------------ = 1

ar△ABC

AB2 BC2 CA2

------ = --------- = ------- = 1 {Theorem of area of

DE2 EF2 FD2 similar triangles}

AB=DE,BC=EF,CA=FD

Thus, △ABC≅△DEF [BY SSS criterion of congruence]

Step-by-step explanation:

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