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MATH / Let ABCD be a unit square. A hyperbola has its foci at the midpoints of (AB)¯ and (CD)¯, and passes through all the vertices of the square. Compute the distance between the two ver…

Problem

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problem

Let ABCDABCD be a unit square. A hyperbola has its foci at the midpoints of AB¯\overline{AB} and CD¯,\overline{CD}, and passes through all the vertices of the square. Compute the distance between the two vertices of the hyperbola.
Plain-text mathematical notation (without MathML)
Let ABCD be a unit square. A hyperbola has its foci at the midpoints of (AB)¯ and (CD)¯, and passes through all the vertices of the square. Compute the distance between the two vertices of the hyperbola.
Original LaTeX notation
Let $ABCD$ be a unit square. A hyperbola has its foci at the midpoints of $\overline{AB}$ and $\overline{CD},$ and passes through all the vertices of the square. Compute the distance between the two vertices of the hyperbola.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
bb84532f-c2ee-5e0c-8652-ff4379bacc78
task_key
intermediate~5falgebra--test--bb84532f-c2ee-5e0c-8652-ff4379bacc78
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import