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Omni-MATH / Triangle ABC is given in the plane. Let AD be the angle bisector of ∠BAC; let BE be the altitude from B to AD, and let F be the midpoint of AB. Given that AB=28,BC=33,CA=37, what i…

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problem

Triangle ABCA B C is given in the plane. Let ADA D be the angle bisector of ∠BAC\angle B A C; let BEB E be the altitude from BB to ADA D, and let FF be the midpoint of ABA B. Given that AB=28,BC=33,CA=37A B=28, B C=33, C A=37, what is the length of EFE F ?
Plain-text mathematical notation (without MathML)
Triangle ABC is given in the plane. Let AD be the angle bisector of ∠BAC; let BE be the altitude from B to AD, and let F be the midpoint of AB. Given that AB=28,BC=33,CA=37, what is the length of EF ?
Original LaTeX notation
Triangle $A B C$ is given in the plane. Let $A D$ be the angle bisector of $\angle B A C$; let $B E$ be the altitude from $B$ to $A D$, and let $F$ be the midpoint of $A B$. Given that $A B=28, B C=33, C A=37$, what is the length of $E F$ ?

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Source and history

task_id
cd34db98-f601-523f-8c71-20e19adfdc17
task_key
test--cd34db98-f601-523f-8c71-20e19adfdc17
task_revision_id
1
config / split
/ test

Official source

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