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Omni-MATH / Let ABC be a triangle with incircle tangent to the perpendicular bisector of BC. If BC=AE= 20, where E is the point where the A-excircle touches BC, then compute the area of △ABC.

Problem

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problem

Let ABCA B C be a triangle with incircle tangent to the perpendicular bisector of BCB C. If BC=AE=B C=A E= 20, where EE is the point where the AA-excircle touches BCB C, then compute the area of △ABC\triangle A B C.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with incircle tangent to the perpendicular bisector of BC. If BC=AE= 20, where E is the point where the A-excircle touches BC, then compute the area of △ABC.
Original LaTeX notation
Let $A B C$ be a triangle with incircle tangent to the perpendicular bisector of $B C$. If $B C=A E=$ 20, where $E$ is the point where the $A$-excircle touches $B C$, then compute the area of $\triangle A B C$.

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Source and history

task_id
66b536bd-af61-538f-a561-300e67824026
task_key
test--66b536bd-af61-538f-a561-300e67824026
task_revision_id
1
config / split
/ test

Official source

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