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If the vertices P, Q, R of a triangle PQ...

If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle POR is (are) always rational point(s) ?

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`C=((x_1+x_2+x_3)/3,(y_1+y_1+y_3)/3)`
C is rational
`m_(AB),m_(BC),m(CA) in `Rational
H must be rational.
D,E,F are rational
`(x_1+x_2)/2,(y_1+y_2)/2`
Co-ordinate O must be rational
`tantheta=7`
...
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