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Omni-MATH / Distinct points A,B,C,D are given such that triangles ABC and ABD are equilateral and both are of side length 10 . Point E lies inside triangle ABC such that EA=8 and EB=3, and poi…

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problem

Distinct points A,B,C,DA, B, C, D are given such that triangles ABCA B C and ABDA B D are equilateral and both are of side length 10 . Point EE lies inside triangle ABCA B C such that EA=8E A=8 and EB=3E B=3, and point FF lies inside triangle ABDA B D such that FD=8F D=8 and FB=3F B=3. What is the area of quadrilateral AEFDA E F D ?
Plain-text mathematical notation (without MathML)
Distinct points A,B,C,D are given such that triangles ABC and ABD are equilateral and both are of side length 10 . Point E lies inside triangle ABC such that EA=8 and EB=3, and point F lies inside triangle ABD such that FD=8 and FB=3. What is the area of quadrilateral AEFD ?
Original LaTeX notation
Distinct points $A, B, C, D$ are given such that triangles $A B C$ and $A B D$ are equilateral and both are of side length 10 . Point $E$ lies inside triangle $A B C$ such that $E A=8$ and $E B=3$, and point $F$ lies inside triangle $A B D$ such that $F D=8$ and $F B=3$. What is the area of quadrilateral $A E F D$ ?

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task_id
c705fac1-9e12-514c-a381-180aa5f366d6
task_key
test--c705fac1-9e12-514c-a381-180aa5f366d6
task_revision_id
1
config / split
/ test

Official source

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