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AP EAMCET202022 Sep 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The points (5,-4,5),(-3,-3,2) and (-1,-6,8) form ......

Options

  1. Aan isosceles triangle
  2. Ban equilateral triangle
  3. Ca right-angled isosceles triangle
  4. Da right-angled triangle

Correct answer

A. an isosceles triangle

Step-by-step solution

Given points A(5,-4,5), B(-3,-3,2) and aligned & C(-1,-6,8) & A B= 64+1+9 = 74 & B C= 4+9+36 =7 & and C A= 36+4+9 =7 aligned Length of sides B C and C A are equal, but B C^2+C A^2 A B^2 A B C is an isosceles triangle.

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