MATH SOLVE

5 months ago

Q:
# What divides each median into two sections at a 2:1 ratio? Question 6 options: a) circumcenter b) incenter c) centroid d) orthocenter

Accepted Solution

A:

Answer:C. CentroidStep-by-step explanation:The circumcenter is the center of a triangle's circumcircle (circumscribed circle over triangle). It can be found as the intersection of the perpendicular bisectors.The incenter is the center of the incircle (inscribed circle into a triangle) of a triangle. The incenter can be constructed as the intersection of angle bisectors. Centroid is the point where the three medians of the triangle intersect. The intersection of the three altitudes of a triangle is called the orthocenter. Since three medians intersect at point which divides each median into 2:1 ratio, the answer is centroid.