Question

What are the coordinates of the circumcenter of the triangle with vertices A(2,7), B(10,7), and C(10, 3)?

a) (6, 5)
b) (6, 10)
c) (5, 6)
d) (10, 6)

Answer 1

The coordinates of the circumcenter are approximately (7.33, 5.67).

Step-by-step explanation:

To find the coordinates of the circumcenter of a triangle, we can use the formula:

Circumcenter = (x, y)

where x = (xA + xB + xC) / 3

and y = (yA + yB + yC) / 3

Substituting the coordinates of the vertices A(2,7), B(10,7), and C(10, 3) into the formula:

x = (2 + 10 + 10) / 3 = 22 / 3 = 7.33

y = (7 + 7 + 3) / 3 = 17 / 3 = 5.67

Therefore, the coordinates of the circumcenter are approximately (7.33, 5.67).