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AP EAMCET2009MathematicsThree Dimensional Geometry

The perimeter of the triangle with vertices at (1,0,0),(0,1,0) and (0,0,1) is

Options

  1. A3
  2. B2
  3. C2 2
  4. D3 2

Correct answer

D. 3 2

Step-by-step solution

Let A=(1,0,0), B=(0,1,0) and C=(0,0,1) Now, aligned Now, A B & = (0-1)^2+(1-0)^2+0^2 = 2 B C & = 0^2+(0-1)^2+(1-0)^2 = 2 and C A & = (1-0)^2+0^2+(0-1)^2 = 2 aligned aligned Perimeter of triangle & =A B+B C+C A = & 2 + 2 + 2 =3 2 aligned

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