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angle bisector wanted in 120-40-20 (2022 Novosibirsk Oral Geo Oly 7.6)

Source:

September 2, 2023
geometryangle bisector

Problem Statement

A triangle ABCABC is given in which ∠BAC=40o\angle BAC = 40^o. and ∠ABC=20o\angle ABC = 20^o. Find the length of the angle bisector drawn from the vertex CC, if it is known that the sides ABAB and BCBC differ by 44 centimeters.
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