if trisngle abc and xyz are equliatral triangles and ab=xy,the condition under which triangle abc=triangle xyz is
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Given that ΔABC and ΔXYZ are equilateral triangles.
i.e., AB=BC=CA
and XY=YZ=ZX …………….(1)
and
here AB=XY ………………(2)
By equation (1) & (2)
BC=YZ and CA=ZX …………….(3)
We have to show that
ΔABC≅ΔXYZ
In ΔABC and ΔXYZ
AB=XY (Given)
BC=YZ (by equation (3))
CA=ZX (by equation (3))
So ΔABC≅ΔXYZ (By SSS rules)
i.e., AB=BC=CA
and XY=YZ=ZX …………….(1)
and
here AB=XY ………………(2)
By equation (1) & (2)
BC=YZ and CA=ZX …………….(3)
We have to show that
ΔABC≅ΔXYZ
In ΔABC and ΔXYZ
AB=XY (Given)
BC=YZ (by equation (3))
CA=ZX (by equation (3))
So ΔABC≅ΔXYZ (By SSS rules)
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