The Median Of An Isosceles Triangle Is The Same Segment In The Triangle As The. This means that the segment FE is of the same length as BE because the medians AD and BE are of equal length. This page shows how to construct the orthocenter of a triangle with compass and straightedge or ruler.
Mar 18 2021 Isosceles Triangle is a type of triangle that has two sides or angles of equal measurement. In an equilateral triangle this is true for any vertex. A median of a triangle is a line segment that joins its vertex to its mid-point of the opposite side dividing it further into two congruent triangles.
So the triangle FBE is isosceles and its angles BFE and FBE are congruent.
In the figure shown below the median from A meets the mid-point of the opposite side BC at point D. Median is a line segment whose end points are the vertex and mid point of the opposite side of a triangle. You can find it by using the Pythagorean theorem if you know the side and the base of triangle. It is proved in the lesson Properties of the sides of parallelograms under the topic Triangles in the section Geometry in this site.
