Question

Circumcenter of triangle with coordinates of (1,1) (1,-3) (7,-3)

Answer 1

Answer:

Circumcenter of triangle $(4,-1)$

Step-by-step explanation:

Given coordinates are $(1,1)(1,-3)(7,-3)$

We will draw these points on the graph.

Let $A(1,1)$, $B(1,-3)$ and $C(7,-3)$

We can see it is a right-angle triangle.

Let $O$ be the midpoint of line $AC$

So, the coordinate of the point $O$ will be

$A(1,1)\ C(7,-3)\\\\Midpoint\ O\ will\ be\\\\O=(\frac{1+7}{2},\frac{1+(-3)}{2})\\ \\O=(\frac{8}{2},\frac{-2}{2})\\\\O=(4,-1)$

Also, we know the coordinates of circumcenter of a right angle triangle will be midpoint of its hypotenuse.

So, coordinates of circumcenter is $(4,-1)$