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Summer Clouds moderators

31/10/2017 at 08:51
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Lines BG, CF and DE are all parallel and coplanar. These three lines intersect rays AD and AE, as shown. Suppose BC = 2670 units, CD = 5340 units and FG = 3185 units. What is the length of segment EF?
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    Phan Thanh Tinh Coordinator 01/11/2017 at 08:41

    Applying the intecept theorem, we have : \(\dfrac{AB}{AG}=\dfrac{BC}{GF};\dfrac{AB}{AG}=\dfrac{BD}{GE}\Rightarrow\dfrac{BC}{GF}=\dfrac{BD}{GE}\Rightarrow\dfrac{2670}{3185}=\dfrac{8010}{3185+FE}\)

    \(\Rightarrow3185+FE=9555\Rightarrow EF=6370\)

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