Multiple Choice Question (MCQ)

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

  1. ×

    a right triangle

  2. an equilateral triangle

  3. ×

    an isosceles triangle

  4. ×

    an acute triangle

Collected in the board: Triangle

Steven Zheng posted 3 minutes ago

Answer

  1. 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 \therefore a=b=c=1

    Therefore,

    \triangle ABC is an equilateral triangle

Steven Zheng posted 1 minute ago

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