Question

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

Answer 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]