Difference between revisions of "2020 AIME II Problems/Problem 13"

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Please stop your intentions to discuss the AOIME.
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Convex pentagon <math>ABCDE</math> has side lengths <math>AB=5</math>, <math>BC=CD=DE=6</math>, and <math>EA=7</math>. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of <math>ABCDE</math>.
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Could someone please add a diagram?

Revision as of 15:41, 7 June 2020

Convex pentagon $ABCDE$ has side lengths $AB=5$, $BC=CD=DE=6$, and $EA=7$. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of $ABCDE$.

Could someone please add a diagram?

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