MathDB
vectorial geometry

Source: Romanian District Olympiad 2015, Grade IX, Problem 1

September 25, 2018
geometryparallelogramVectors

Problem Statement

Consider the parallelogram ABCD, ABCD, whose diagonals intersect at O. O. The bisector of the angle ∠DAC \angle DAC and that of ∠DBC \angle DBC intersect each other at T. T. Moreover, TD→+TC→=TO→. \overrightarrow{TD} +\overrightarrow{TC} =\overrightarrow{TO} .
Find the angles of the triangle ABT. ABT.
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