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Omni-MATH / Let ABC be a right triangle with ∠A=90^(∘). Let D be the midpoint of AB and let E be a point on segment AC such that AD=AE. Let BE meet CD at F. If ∠BFC=135^(∘), determine BC/AB.

Problem

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problem

Let ABCABC be a right triangle with ∠A=90∘\angle A=90^{\circ}. Let DD be the midpoint of ABAB and let EE be a point on segment ACAC such that AD=AEAD=AE. Let BEBE meet CDCD at FF. If ∠BFC=135∘\angle BFC=135^{\circ}, determine BC/ABBC/AB.
Plain-text mathematical notation (without MathML)
Let ABC be a right triangle with ∠A=90^(∘). Let D be the midpoint of AB and let E be a point on segment AC such that AD=AE. Let BE meet CD at F. If ∠BFC=135^(∘), determine BC/AB.
Original LaTeX notation
Let $ABC$ be a right triangle with $\angle A=90^{\circ}$. Let $D$ be the midpoint of $AB$ and let $E$ be a point on segment $AC$ such that $AD=AE$. Let $BE$ meet $CD$ at $F$. If $\angle BFC=135^{\circ}$, determine $BC/AB$.

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Source and history

task_id
26accb5c-bdee-5fc7-b317-140da3d43930
task_key
test--26accb5c-bdee-5fc7-b317-140da3d43930
task_revision_id
1
config / split
/ test

Official source

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