P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.

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Solution

$m e d i a n space f r o m space R space m e e t s space m i d p o i n t space o f space P Q comma space l e t space t h a t space b e space S S space identical to open curly brackets fraction numerator P subscript x plus Q subscript x over denominator 2 end fraction comma space fraction numerator P subscript y plus Q subscript y over denominator 2 end fraction close curly brackets space equals open curly brackets fraction numerator 3 plus 7 over denominator 2 end fraction comma space fraction numerator 4 minus 2 over denominator 2 end fraction close curly brackets space equals space open curly brackets 5 comma space 1 close curly brackets R left parenthesis negative 2 comma space 1 right parenthesis h e n c e space s l o p e space i s space fraction numerator R subscript y minus S subscript y over denominator R subscript x minus S subscript x end fraction space equals space fraction numerator 1 minus 1 over denominator negative 2 minus 5 end fraction space equals space 0 h e n c e space y space equals space m x plus c y space equals space 0. x plus c y space equals space c space t h i s space p a s s e s space t h r o u g h space minus 2 comma space minus 1 h e n c e space minus 1 space equals space c c space equals space minus 1 s o space y space equals space minus 1 space i s space t h e space l i n e.$

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P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.

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