Question

The center of a circle that can be circumscribed about a scalene triangle is located by constructing the:
(1) altitudes of the triangle.
(2) medians of the triangle.
(3) perpendicular bisectors of the sides of the triangle.
(4) angle bisectors of the triangle.

And please explain the answer. Thank you :)

Answer 1

To find the circumcentre of circumcircle, we draw perpendicular bisectors of the sides of the triangle. This is because 'line joining centre perpendicular to chord bisects chord'. In reverse, consider the side of the triangle as the chords, we can find the centre if we draw perpendicular bisectors to the sides of triangle.

Answer 2

ohhhh, I get it. Thank you so much x)

Answer 3

Welcome :)