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Omni-MATH / Let A,B,C,D be points chosen on a circle, in that order. Line BD is reflected over lines AB and DA to obtain lines ℓ₁ and ℓ₂ respectively. If lines ℓ₁,ℓ₂, and AC meet at a common p…

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problem

Let A,B,C,DA, B, C, D be points chosen on a circle, in that order. Line BDB D is reflected over lines ABA B and DAD A to obtain lines ℓ1\ell_{1} and ℓ2\ell_{2} respectively. If lines ℓ1,ℓ2\ell_{1}, \ell_{2}, and ACA C meet at a common point and if AB=4,BC=3,CD=2A B=4, B C=3, C D=2, compute the length DAD A.
Plain-text mathematical notation (without MathML)
Let A,B,C,D be points chosen on a circle, in that order. Line BD is reflected over lines AB and DA to obtain lines ℓ₁ and ℓ₂ respectively. If lines ℓ₁,ℓ₂, and AC meet at a common point and if AB=4,BC=3,CD=2, compute the length DA.
Original LaTeX notation
Let $A, B, C, D$ be points chosen on a circle, in that order. Line $B D$ is reflected over lines $A B$ and $D A$ to obtain lines $\ell_{1}$ and $\ell_{2}$ respectively. If lines $\ell_{1}, \ell_{2}$, and $A C$ meet at a common point and if $A B=4, B C=3, C D=2$, compute the length $D A$.

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task_id
6f803001-8aef-5bbd-8c71-9bcbd851eccd
task_key
test--6f803001-8aef-5bbd-8c71-9bcbd851eccd
task_revision_id
1
config / split
/ test

Official source

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