Fund the Cirucmcenter of the triangle whose sides are x+y+2=0, 5x-y-2=0, x-2y+5=0 Question Fund the Cirucmcenter of the triangle whose sides are x+y+2=0, 5x-y-2=0, x-2y+5=0 in progress 0 Math Parker 2 months 2021-10-04T22:02:38+00:00 2021-10-04T22:02:38+00:00 1 Answer 0 views 0

## Answers ( )

Let us find the three vertices of the triangle.

Find value of in and substitute it in and each.

So,

And in,

substituting value of

And then,

Thus (0, -2) is a vertex.

And in,

And then,

Thus (-3, 1) is a vertex.

Consider,

And in,

substituting value of

And then,

Thus (1, 3) is a vertex of the triangle.

So (0, -2), (-3, 1) and (1, 3) are vertices of the triangle.

Let (a, b) be the coordinates of the circumcenter of the triangle, which is equidistant from the points (0, -2), (-3, 1) and (1, 3) each.

Then by distance formula,

And,

From (1),

And then,

Hence the circumcenter of the triangle is,