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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

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

problem

Let ABCA B C be a right triangle with ∠A=90∘\angle A=90^{\circ}. Let DD be the midpoint of ABA B and let EE be a point on segment ACA C such that AD=AEA D=A E. Let BEB E meet CDC D at FF. If ∠BFC=135∘\angle B F C=135^{\circ}, determine BC/ABB C / A B.
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 $A B C$ be a right triangle with $\angle A=90^{\circ}$. Let $D$ be the midpoint of $A B$ and let $E$ be a point on segment $A C$ such that $A D=A E$. Let $B E$ meet $C D$ at $F$. If $\angle B F C=135^{\circ}$, determine $B C / A B$.

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Source and history

task_id
e6edc360-8878-5674-9974-6de9085f69d2
task_key
test--e6edc360-8878-5674-9974-6de9085f69d2
task_revision_id
1
config / split
/ test

Official source

initial import