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Omni-MATH / We draw two lines (ℓ₁),(ℓ₂) through the orthocenter H of the triangle ABC such that each one is dividing the triangle into two figures of equal area and equal perimeters. Find the …

Problem

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problem

We draw two lines (ℓ1),(ℓ2)(\ell_1) , (\ell_2) through the orthocenter HH of the triangle ABCABC such that each one is dividing the triangle into two figures of equal area and equal perimeters. Find the angles of the triangle.
Plain-text mathematical notation (without MathML)
We draw two lines (ℓ₁),(ℓ₂) through the orthocenter H of the triangle ABC such that each one is dividing the triangle into two figures of equal area and equal perimeters. Find the angles of the triangle.
Original LaTeX notation
We draw two lines $(\ell_1) , (\ell_2)$ through the orthocenter $H$ of the triangle $ABC$ such that each one is dividing the triangle into two figures of equal area and equal perimeters. Find the angles of the triangle.

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Source and history

task_id
6e329dca-487c-524a-aaaa-0926a8b17a4e
task_key
test--6e329dca-487c-524a-aaaa-0926a8b17a4e
task_revision_id
1
config / split
/ test

Official source

initial import