Doubling the Median

Learn how to apply the method of doubling the median in triangle geometry. Includes proofs and ratio problems involving triangle medians.

Start: Prove that if two sides and the median to…
JuniorMathematics
Domain · Geometry

Start solving

Pick a puzzle below — each one has an interactive simulator you can play right away.

Start: Prove that if two sides and the median to…

When proving the criterion for an isosceles triangle (If the bisector of a triangle coincides with its median, then the triangle is isosceles), the method of doubling the median is used. This auxiliary construction is al…

Learn the methodRead guide

When proving the criterion for an isosceles triangle (If the bisector of a triangle coincides with its median, then the triangle is isosceles), the method of doubling the median is used. This auxiliary construction is also helpful in other problems involving medians.