## Geometry problems for Pre-RMO

**Practice Quiz:**

- Prove that the median of a triangle which lies between two of its unequal sides forms a greater angle with the smaller of those sides.
- Point A is given inside a triangle. Draw a line segment with end-points on the perimeter of the triangle so that the point divides the segment in half.
- If the sides of a triangle are longer than 1000 inches, can its area be less than one inch?

*You are most welcome to share your answers,*

Nalin Pithwa

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