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Omni-MATH / Let ABCDE be a convex pentagon such that ∠ABC=∠ACD=∠ADE=90^(∘) and AB=BC=CD=DE=1. Compute AE.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let ABCDEA B C D E be a convex pentagon such that ∠ABC=∠ACD=∠ADE=90∘\angle A B C=\angle A C D=\angle A D E=90^{\circ} and AB=BC=CD=DE=1A B=B C=C D=D E=1. Compute AEA E.
Plain-text mathematical notation (without MathML)
Let ABCDE be a convex pentagon such that ∠ABC=∠ACD=∠ADE=90^(∘) and AB=BC=CD=DE=1. Compute AE.
Original LaTeX notation
Let $A B C D E$ be a convex pentagon such that $\angle A B C=\angle A C D=\angle A D E=90^{\circ}$ and $A B=B C=C D=D E=1$. Compute $A E$.

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Source and history

task_id
b05ed9f2-93ef-597c-b95c-d9b10ad5a2ca
task_key
test--b05ed9f2-93ef-597c-b95c-d9b10ad5a2ca
task_revision_id
1
config / split
/ test

Official source

initial import