Two vertices of a triangle are `(3,-5)a n d(-7,4)dot` If its centroid is `(2,-1),` find the third vertiex.

Explanation

We have given the coordinates two vertices of a triangle are`(3,-5)`and`(-7,4)` and its centroid is `(2,-1).`

Then let the coordinates of the third vertex be `(x, y)`.

Then,

`(x+3−7)/3=2` and
`(y−5+4)/3=-1`

`=>x−4=6`and`y−1=−3`

`=>x=10`and`y=−2`

Hence, the coordinates of the third vertex are `(10, -2)`.
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