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

Mathematics

1 answer:

const2013 [10]2 years ago

4 0

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:

$x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6$

So, O(7,6)

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