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Omni-MATH / Let AD,BF and CE be the altitudes of vartriangle ABC. A line passing through D and parallel to ABintersects the line EFat the point G. If H is the orthocenter of vartriangle ABC, f…

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problem

Let AD,BFAD,BF and CE{CE} be the altitudes of $\vartriangle ABC$. A line passing through D{D} and parallel to AB{AB}intersects the line EF{EF}at the point G{G}. If H{H} is the orthocenter of $\vartriangle ABC$, find the angle ∠CGH{\angle{CGH}}.
Plain-text mathematical notation (without MathML)
Let AD,BF and CE be the altitudes of $\vartriangle ABC$. A line passing through D and parallel to ABintersects the line EFat the point G. If H is the orthocenter of $\vartriangle ABC$, find the angle ∠CGH.
Original LaTeX notation
Let $AD,BF$ and ${CE}$ be the altitudes of $\vartriangle ABC$. A line passing through ${D}$ and parallel to ${AB}$intersects the line ${EF}$at the point ${G}$. If ${H}$ is the orthocenter of $\vartriangle ABC$, find the angle ${\angle{CGH}}$.

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Source and history

task_id
60dc3402-8525-5ce1-8ff5-cf639ea35517
task_key
test--60dc3402-8525-5ce1-8ff5-cf639ea35517
task_revision_id
1
config / split
/ test

Official source

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