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Omni-MATH / Convex quadrilateral BCDE lies in the plane. Lines EB and DC intersect at A, with AB=2, AC=5,AD=200,AE=500, and cos∠BAC=(7)/(9). What is the largest number of nonoverlapping circle…

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problem

Convex quadrilateral BCDEB C D E lies in the plane. Lines EBE B and DCD C intersect at AA, with AB=2A B=2, AC=5,AD=200,AE=500A C=5, A D=200, A E=500, and cos∠BAC=79\cos \angle B A C=\frac{7}{9}. What is the largest number of nonoverlapping circles that can lie in quadrilateral BCDEB C D E such that all of them are tangent to both lines BEB E and CDC D ?
Plain-text mathematical notation (without MathML)
Convex quadrilateral BCDE lies in the plane. Lines EB and DC intersect at A, with AB=2, AC=5,AD=200,AE=500, and cos∠BAC=(7)/(9). What is the largest number of nonoverlapping circles that can lie in quadrilateral BCDE such that all of them are tangent to both lines BE and CD ?
Original LaTeX notation
Convex quadrilateral $B C D E$ lies in the plane. Lines $E B$ and $D C$ intersect at $A$, with $A B=2$, $A C=5, A D=200, A E=500$, and $\cos \angle B A C=\frac{7}{9}$. What is the largest number of nonoverlapping circles that can lie in quadrilateral $B C D E$ such that all of them are tangent to both lines $B E$ and $C D$ ?

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task_id
1d3b3efe-ff16-56af-810f-8ad70b59aaa1
task_key
test--1d3b3efe-ff16-56af-810f-8ad70b59aaa1
task_revision_id
1
config / split
/ test

Official source

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