If two medians of a triangle are equal, prove that the triangle formed by a segment of each median and the third side is an isosceles triangle.

2 answers

Let the triangle be ABC, and where the medians AD and BE intersect be M.

The three medians intersect at the centroid, and divide each other in the ratio 1:2

That means that AM = BM and the triangle ABM is isosceles.
bn
Similar Questions
    1. answers icon 1 answer
    1. answers icon 1 answer
  1. there is a triangle with 3 points, A(4,5), B(1,2), C(6,2)To prove that all three medians of a triangle meet at the same point,
    1. answers icon 1 answer
  2. there is a triangle with 3 points, A(4,5), B(1,2), C(6,2)To prove that all three medians of a triangle meet at the same point,
    1. answers icon 3 answers
more similar questions