alyssahunter2001 alyssahunter2001
  • 17-01-2020
  • Mathematics
contestada

What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?
( , )

Respuesta :

frika
frika frika
  • 24-01-2020

Answer:

(7,6)

Step-by-step explanation:

Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the coordinates of the midpoint O of the hypotenuse AC:

[tex]x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6[/tex]

So, O(7,6)

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