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AP EAMCET202422 May 2024Morning ShiftMathematicsStraight LinesActual

The equation of the side of an equilateral triangle is x+y=2 and one vertex is (2,-1) . The length of the side is

Options

  1. A2 3
  2. B1 2 3
  3. C3 2
  4. D2 3

Correct answer

A. 2 3

Step-by-step solution

Given : x+y=2 is equation of a side and (2,-1) is vertex. Since (2,-1) doesn't satisfy x+y=2 It is vertex opposite to the side. Perpendicular distance from (2,-1) to x+y=2 is height of the triangle = 1-11 2 = 3 2 Side Side = 2 3 .

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