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Omni-MATH / Consider all the triangles ABC which have a fixed base AB and whose altitude from C is a constant h. For which of these triangles is the product of its altitudes a maximum?

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problem

Consider all the triangles ABCABC which have a fixed base ABAB and whose altitude from CC is a constant hh. For which of these triangles is the product of its altitudes a maximum?
Plain-text mathematical notation (without MathML)
Consider all the triangles ABC which have a fixed base AB and whose altitude from C is a constant h.  For which of these triangles is the product of its altitudes a maximum?
Original LaTeX notation
Consider all the triangles $ABC$ which have a fixed base $AB$ and whose altitude from $C$ is a constant $h$.  For which of these triangles is the product of its altitudes a maximum?

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Source and history

task_id
72070246-e899-5fa5-b181-01e6dc8ceae3
task_key
test--72070246-e899-5fa5-b181-01e6dc8ceae3
task_revision_id
1
config / split
/ test

Official source

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