Question

Find the circumcenter of the triangle whose sides are x = 1, y=1 and x + y =1​

Answer 1

Step-by-step explanation:

Let the vertices of the triangle be A, B and C (see attached figure).

Base on the graph, the coordinates of the vertices are:

A(0,1)

B(1,1) and

C(1,0)

To determine the length of each side of the triangles, apply the distance formula.

d=sqrt((x_2 - x_1)^2+ (y_2-y_1)^2)

For side AB, its length is:

d_(AB)=sqrt((0-1)^2+(1-1)^2)

d_(AB)=1

For side BC, its length is:

d_(BC)=sqrt((1-1)^2+(1-0)^2)

d_(BC)=1

And for side AC, its length is:

d_(AC)=sqrt((1-0)^2+(0-1)^2))

d_(AC)=sqrt2