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AIME 2024 / AIME 2024 train 61791a8d-574f-5879-b15d-f25ad71dda40

Problem

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Problem

Rectangles

ABCD

and

EFGH

are drawn such that

D,E,C,F

are collinear. Also,

A,D,H,G

all lie on a circle. If

BC=16

AB=107

FG=17

, and

EF=184

, what is the length of

CE

Plain-text mathematical notation (without MathML)

Rectangles ABCD and EFGH are drawn such that D,E,C,F are collinear. Also, A,D,H,G all lie on a circle. If BC=16,AB=107,FG=17, and EF=184, what is the length of CE?

Original LaTeX notation

Rectangles $ABCD$ and $EFGH$ are drawn such that $D,E,C,F$ are collinear. Also, $A,D,H,G$ all lie on a circle. If $BC=16$,$AB=107$,$FG=17$, and $EF=184$, what is the length of $CE$?

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Source and history

task_id: 61791a8d-574f-5879-b15d-f25ad71dda40
task_key: default--train--61791a8d-574f-5879-b15d-f25ad71dda40
task_revision_id: 2
config / split: default / train

Official source

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