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Mathematics 19 Online
OpenStudy (alexa):

PLEASE HELP, MEDAL+FAN In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium? A.in the center of the inscribed circle of the triangle B.in the center of the circumscribed circle of the triangle C.at the point of intersection of the angle bisectors of the triangle D.at the point of intersection of an angle bisector and a perpendicular bisector of the triangle

OpenStudy (alexa):

is it B?

OpenStudy (oops):

The incenter=intersection from the three angle bisectors, so A and C are the same The circumcenter=intersection from the three perpendicular bisectors; the circumcenter is always equidistant from the three vertices of said triangle.

OpenStudy (oops):

The circumscribed circle would mean circumcircle, and the inscribed circle is another way of saying incircle.

OpenStudy (alexa):

oh so whats a in circle?

OpenStudy (alexa):

im lost

OpenStudy (oops):

An incircle is the largest circle that can fit in a triangle; the incenter is the intersection of the three angle bisectors of a triangle

OpenStudy (oops):

The answer would be B; the center of the (circumscribed circle/circumcircle) would be the circumcenter, and the circumcenter is equidistant from the three vertices of the triangle it's associated with @ALExa

OpenStudy (alexa):

Thank you @Oops

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