Question

let p(5,0)q( –2,2) and R(3,4) for the vertex of the triangle pqr find the equation of the medium
through p q and r​

Answer 1

Correct Question:-

Let P(5, 0), Q( –2, 2) and R(3, 4) be the vertices of the triangle PQR. Find the equation of the median through PQ and R.

Solution:-

The median of the triangle through R passes through the midpoint of PQ.

​Let M be the midpoint of PQ. Then its coordinates will be $\left(\dfrac{5-2}{2},\ \dfrac{0+2}{2}\right)=\left(\dfrac{3}{2},\ 1\right).$

So the median passes through R(3, 4) and M(3/2, 1).

By two - point formula, the equation of the median is given by,

$\longrightarrow\dfrac{y-4}{x-3}=\dfrac{1-4}{\dfrac{3}{2}-3}$

$\longrightarrow\dfrac{y-4}{x-3}=2$

$\longrightarrow y-4=2x-6$

$\longrightarrow\underline{\underline{2x-y-2=0}}$

This is the equation of the median.

Answer 2

Answer:

And this is the right answer.

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