MATH SOLVE

4 months ago

Q:
# Which of the following is a result of the construction of a median of a triangle?An angle of the triangle is bisected.A perpendicular segment is created from a vertex to the opposite side.A side of the triangle is bisected.The center of the triangle is found.(Not 2nd one)

Accepted Solution

A:

Answer:FALSE: An angle of the triangle is bisected.TRUE : A perpendicular segment is created from a vertex to the opposite side.TRUE: A side of the triangle is bisected.TRUE: The center of the triangle is found.Step-by-step explanation:Median: Median of a triangle is a line segment which joins the vertex of a triangle and then mid point of its opposite side.1) In any equilateral or isosceles triangle, a median is also a angle bisector of the vertex through which it passes But the result may NOT BE TRUE for all types of triangles.2)A perpendicular segment is created from a vertex to the opposite side. This is true for all the types of triangle.3)A side of the triangle is bisected. Yes, the side of the triangle on which the median falls, is bisected.Median divides the side of the triangle in to two equal sides.4)The point where all the three median of the triangle intersect inside the triangle.That point is called the centro-id of the triangle.Hence, the centroid of the triangle is found.