show that every equiangular triangle is equilateral
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Paythasgoras therom.is answer
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Let triangle ABC is equiangular triangle
therefore angle a= b= c
a= b therefore ac = bc ...1.. (side opposite to congruent angle )
b=c therefore ac= ab....2...
a=c therefore bc= ab...3...
from 1,,2,,&3
ab=bc=ac
so triangle abc is equilateral.
therefore angle a= b= c
a= b therefore ac = bc ...1.. (side opposite to congruent angle )
b=c therefore ac= ab....2...
a=c therefore bc= ab...3...
from 1,,2,,&3
ab=bc=ac
so triangle abc is equilateral.
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