Questions:
How to Find 5 Triangles with Integer Sides
1. Find five triangles with integers sides (without no commun divisors ) such that the median AD from angle A to side BC is m(a) = b + c - a where a, b , c are sides opposite to angles A, B, C respectively. The inner circle is tangent at point X to segment BD on side BC.
2. So find the 5 triangles of integers sides (with no commun divisor ) such that the length of median AD is m(a) = b + c - a.
3. For each of the five triangles, give separately the length of sides a, b, and c.