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Omni-MATH / Suppose that ABC is an isosceles triangle with AB=AC. Let P be the point on side AC so that AP=2CP. Given that BP=1, determine the maximum possible area of ABC.

Problem

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problem

Suppose that ABCABC is an isosceles triangle with AB=ACAB=AC. Let PP be the point on side ACAC so that AP=2CPAP=2CP. Given that BP=1BP=1, determine the maximum possible area of ABCABC.
Plain-text mathematical notation (without MathML)
Suppose that ABC is an isosceles triangle with AB=AC. Let P be the point on side AC so that AP=2CP. Given that BP=1, determine the maximum possible area of ABC.
Original LaTeX notation
Suppose that $ABC$ is an isosceles triangle with $AB=AC$. Let $P$ be the point on side $AC$ so that $AP=2CP$. Given that $BP=1$, determine the maximum possible area of $ABC$.

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Source and history

task_id
c455b91f-49da-5a1c-a9a9-c441525df492
task_key
test--c455b91f-49da-5a1c-a9a9-c441525df492
task_revision_id
1
config / split
/ test

Official source

initial import