Tri angled pyramid ABCD's bottom is an equilateral triangle with side lenght of 10 cm. Pyramids height endpoint at the bottom side is located inside the triangle and is 2 cm from side AB and sqrt3 cm from side AC. Into pyramid will be placed a plane/level so that it would separate the largest volume pyramid from the first pyramid . Find largest volume of the new pyramid , if the first pyramid's height is 15 cm .

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Tri angled pyramid ABCD's bottom is an equilateral triangle with side lenght of 10 cm. Pyramids height endpoint at the bottom side is located inside the triangle and is 2 cm from side AB and sqrt3 cm from side AC. Into pyramid will be placed a plane/level so that it would separate the largest volume pyramid from the first pyramid . Find largest volume of the new pyramid , if the first pyramid's height is 15 cm .

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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