Appolonius Theorem
Geometry
Level
3
You are given a triangle with 2 sides measuring 5 units and 10 units. The median on the third side measures 6.5 units.
If the area of the triangle can be expressed as \( a \sqrt{x}\text{ unit}^2\) where \(x\) is square-free, find \(x\).
by
Sahil Chalak