Question

ᎶᎾᎾᎠ ᎷᎾᏒᏁᎨᏁᎶ
ᏢᏝᎬᎯᏕᎬ ᎻᎬᏝᏢ ᎷᎬ
4. If the areas of two similar triangles are equal, prove
that they are congruent.
​

Answer 1

Answer:

Data: △ABC∼△DEF

ar(△ABC)=ar(△DEF)

To Prove: △ABC≅△DEF

Proof:

ar(△DEF)

ar(△ABC)

=

DE

2

AB

2

=

EF

2

BC

2

=

FD

2

CA

2

[∵ Theorem of areas of similar triangles]

1=

DE

2

AB

2

=

EF

2

BC

2

=

FD

2

CA

2

[∵ By data areas are equal]

⇒AB

2

=DE

2

∴AB=DE

BC

2

=EF

2

∴BC=EF

CA

2

=FD

2

∴CA=FD

∴△ABC≅△DEF [∵ SSS]

solution

Step-by-step explanation:

#hopeithelps

Answer 2

Answer:

Good afternoon Himanshu

Step-by-step explanation:

Kab aao ge yaar exams kab se Tumhari