In the figure below, ABC is an isosceles triangle (AB = BC) and D is a point on AC. The excircle E of the triangle ABD corresponding to AD is tangent to BD extended at F. The excircle G of the triangle DBC corresponding to BC is tangent to AC extended at H. Prove that BG and FH are parallel.

*BD is called an interior
cevian of triangle ABC. *

Geometry Problems

Ten problems: 1371-1380

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Triangle

Isosceles triangle

Excircle

Cevian

Circle

Parallel lines

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