![Geometry Problems, Online Education](../../machu_picchu_h1_810.jpg)
Problem 1309: Triangle, Circle, Inradius, Excircle, Tangent, Exradius, Measurement.
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The figure below shows a triangle ABC with the excircle corresponding to BC tangent to AB and AC extended at D and E, respectively. If BD = 11, CE = 7, and the inradius = 6, find the measure of the exradius corresponding to BC.
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Background of Problem 1309: Machu Picchu, "Lost City of the Incas".
![Geometry Problem 1309 Triangle, Circle, Machu Picchu background](p1309-triangle-circle-machu-picchu-bg-7.jpg)
Machu Picchu called the "Lost City of the Incas" is one of the New Seven Wonders of the World and UNESCO World Heritage Site. |
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