If $$a,b, c$$ are sides of $$ riangle ABC$$ such that $$a^2+b^2+c^2-2a-2b=2c-3$$, then $$ riangle ABC$$ is

Question

If $$a,b, c$$ are sides of $$	riangle ABC$$ such that $$a^2+b^2+c^2-2a-2b=2c-3$$, then $$	riangle ABC$$ is

Uniteasy Admin · Accepted Answer

$$a^2+b^2+c^2-2a-2b=2c-3$$
$$(a-1)^2+(b-1)^2+(c-1)^2=0$$
To make the equation is true, 
if and only if $$	herefore   a=b=c=1 $$  
Therefore,
$$	riangle ABC$$ is an equilateral triangle

Multiple Choice Question (MCQ)

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