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Similarity of triangles , similar triangles Proportionality of segments Solved Problem UNI of geometry , mathematics cepreuni . Solutions of the entrance test to the National University of Engineering UNI - second evaluation - Mathematics Solution Book . Professor Jorge Ayala solves a question from the pre-university level university entrance exam at the Rubiños Academy . Pre-university and secondary school class presented at the Rubiños pre-university academy . In the following figure, I is the incenter of triangle ABC, BI = 6 u, DE = 1 u. Calculate BE (in u). A) 8 B) 9 C) 10 D) 11 E) 12 Resolution Similarity of triangles Let us remember the antiparallel theorem.