Question

Someone explain please

Answer 1

Answer:

Step-by-step explanation:

if the triangle is standing on a vertex and not on a side (base) then the height changes. But the altitude always remains the same

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side. But, the median is just a line drawn from a vertex of a triangle to the midpoint of the opposite side of the triangle.

Perpendicular bisector theorem deals with congruent segments of a triangle, thus allowing for the diagonals from the vertices to the circumcenter to be congruent. Whereas the angle bisector theorem deals with congruent angles, hence creating equal distances from the incenter to the side of the triangle.

The point of intersection of the three medians of a triangle is the centroid, while the perpendicular bisectors of the three sides of the triangle determines the circumcentre.

A circle inscribed inside a triangle is called the in-center, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter