2.Areas of two similar triangle
are
equal then prove that triangles are congruent​

1 thought on “2.Areas of two similar triangle<br />are<br />equal then prove that triangles are congruent​”

1. Step-by-step explanation:

   Data: △ABC∼△DEF

   ar(△ABC)=ar(△DEF)

   To Prove: △ABC≅△DEF

   Proof: ar(△DEF)ar(△ABC)=DE2AB2=EF2BC2=FD2CA2 [∵ Theorem of areas of similar triangles]

   1=DE2AB2=EF2BC2=FD2CA2 [∵ By data areas are equal]

   ⇒AB2=DE2∴AB=DE

   BC2=EF2∴BC=EF

   CA2=FD2∴CA=FD

   ∴△ABC≅△DEF [∵ SSS]

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