InterviewSolution
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InterviewSolution
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An equilateral triangle has one vertex at (0, 0) and another at `(3, sqrt(3))`. What are the coordinates of the third vertex ?A. `(0, 2sqrt(3))` onlyB. `(3, sqrt(3))` onlyC. `(0, 2sqrt(3)) or (3, -sqrt(3))`D. Neither `(0, 2sqrt(3)) nor (3, -sqrt(3))` |
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Answer» Correct Answer - C Let ABC is equilateral triangle with A(0, 0) and `B(3, sqrt(3))` and C to be known. `:. AB=sqrt((3-0)^(2)+(sqrt(3)-0)^(2))=sqrt(9+3)=sqrt(12)` Take option (a) i.e. `C (0, 2 sqrt(3))` `CA=sqrt(0^(2)+(2sqrt(3))^(2))=sqrt(12)` `CB=sqrt((3)^(2)+(sqrt(3))^(2))=sqrt(12)` Take option (b) i.e. `C (3, -sqrt(3))` `CA=sqrt(3^(2)+(sqrt(3))^(2))=sqrt(12)` `CB=sqrt((0)^(2)+(2sqrt(3))^(2))=sqrt(12)` `:.` Both option (a) and (b) are correct. |
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