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Geometry Proofs : Triangles and Internal and External Bisectors; Length of Altitude ( Height) and Isoceles Triangles

1- If we have a triangle ABC, then prove that the internal and external bisectors of the angle of a triangle are perpendicular (assume for angle A)

2- Prove that given triangle ABC with the altitude from B of the same length as the altitude from C, then the triangle must be isosceles.

Solution Summary

Geometry proofs involving triangles are provided. The solution is detailed and well presented. Diagrams are included.