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Geometry with calculation

Source: 2024 Korea Junior Math Olympiad _1

October 26, 2024
geometry

Problem Statement

There is an isosceles triangle which follows the following: ABˉ=ACˉ=5,BCˉ=6 \bar{AB}=\bar{AC}=5, \bar{BC}=6 D,E are points on ACˉ \bar{AC} which follows ADˉ=1,ECˉ=2 \bar{AD}=1, \bar{EC}=2 If the extent of △ \triangle BDE = S, Find 15S.
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