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Omni-MATH / ABCD is a cyclic quadrilateral in which AB=4,BC=3,CD=2, and AD=5. Diagonals AC and BD intersect at X. A circle ω passes through A and is tangent to BD at X.ω intersects AB and AD a…

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problem

ABCDA B C D is a cyclic quadrilateral in which AB=4,BC=3,CD=2A B=4, B C=3, C D=2, and AD=5A D=5. Diagonals ACA C and BDB D intersect at XX. A circle ω\omega passes through AA and is tangent to BDB D at X.ωX . \omega intersects ABA B and ADA D at YY and ZZ respectively. Compute YZ/BDY Z / B D.
Plain-text mathematical notation (without MathML)
ABCD is a cyclic quadrilateral in which AB=4,BC=3,CD=2, and AD=5. Diagonals AC and BD intersect at X. A circle ω passes through A and is tangent to BD at X.ω intersects AB and AD at Y and Z respectively. Compute YZ/BD.
Original LaTeX notation
$A B C D$ is a cyclic quadrilateral in which $A B=4, B C=3, C D=2$, and $A D=5$. Diagonals $A C$ and $B D$ intersect at $X$. A circle $\omega$ passes through $A$ and is tangent to $B D$ at $X . \omega$ intersects $A B$ and $A D$ at $Y$ and $Z$ respectively. Compute $Y Z / B D$.

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task_id
a16404bb-72c0-5a2b-9bfd-63c3504761a1
task_key
test--a16404bb-72c0-5a2b-9bfd-63c3504761a1
task_revision_id
1
config / split
/ test

Official source

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