The mid points of the sides of a triangle are (2,1), (-5,7) and (-5,-5).The equation of sides are
: `(A) x-2=0`
`(B) 6x+7y+65=0`
`(C) 6x-7y+79=0`
(D) All of these

Explanation

Let the triangle be ABC

Let the mid points be : `D (2,1) E (-5,7) & F (-5,-5)` of the sides of a triangle BC , AB , & AC respectively


∴
`Slope (m) = (y_2​−y_1)/(x_2-x_1)`
​​
`m_DE​ = (1-7)/(2−(−5)) =(−6)/7`
​
`m_EF​=(7−(−5)​)/(−5−(−5))=12/0`​=undefined (vertical line)


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