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If the vertices of a triangle have their...

If the vertices of a triangle have their coordinates given by rational numbers,prove that the triangle cannot be equilateral.

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MBD PUBLICATION-STRAIGHT LINES-QUESTION BANK
  1. In a triangle one of the vertices is at (2,5) and the centroid of the ...

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  2. Find the coordinates of the vertices of a triangle whose sides have mi...

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  3. If the vertices of a triangle have their coordinates given by rational...

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  4. Prove that the area of any triangle is equal to four times the area of...

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  5. Find the condition that the point (x,y) may lie on the line joining (1...

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  6. Show that the three distinct points (a^2,a) (b^2,b) and (c^2,c) can ne...

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  7. If A,B,C are points (-1,2),(3,1) and (-2,-3) respectively, show that t...

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  8. Prove analytically : The line segment joining the midpoints of two sid...

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  9. Prove analytically : The altitudes of a triangle are concurrent.

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  10. Prove analytically : The perpendicular bisector of the sides of a tria...

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  11. Prove analytically : An angle in a semicircle is a right angle.

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  12. Fill in the blanks in each of the following, using the answers given a...

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  13. Fill in the blanks in each of the following, using the answers given a...

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  14. Fill in the blanks in each of the following, using the answers given a...

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  15. Fill in the blanks in each of the following, using the answers given a...

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  16. Fill in the blanks in each of the following, using the answers given a...

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  17. State with reasons which of following are true or false : The equati...

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  18. State with reasons which of following are true or false : The line, ...

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  19. State with reasons which of following are true or false : The lines ...

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  20. State with reasons which of following are true or false : The lines ...

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