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Omni-MATH / In convex quadrilateral ABCD, ABequal{}a, BCequal{}b, CDequal{}c, DAequal{}d, ACequal{}e, BDequal{}f. If max {a,b,c,d,e,f }equal{}1, then find the maximum value of abcd.

Problem

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problem

In convex quadrilateral

ABCD

, $ AB\equal{}a$ , $ BC\equal{}b$ , $ CD\equal{}c$ , $ DA\equal{}d$ , $ AC\equal{}e$ , $ BD\equal{}f$ . If $ \max \{a,b,c,d,e,f \}\equal{}1$ , then find the maximum value of

abcd

Plain-text mathematical notation (without MathML)

In convex quadrilateral ABCD, $ AB\equal{}a$, $ BC\equal{}b$, $ CD\equal{}c$, $ DA\equal{}d$, $ AC\equal{}e$, $ BD\equal{}f$. If $ \max \{a,b,c,d,e,f \}\equal{}1$, then find the maximum value of abcd.

Original LaTeX notation

In convex quadrilateral $ ABCD$, $ AB\equal{}a$, $ BC\equal{}b$, $ CD\equal{}c$, $ DA\equal{}d$, $ AC\equal{}e$, $ BD\equal{}f$. If $ \max \{a,b,c,d,e,f \}\equal{}1$, then find the maximum value of $ abcd$.

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task_id: e97000f7-7265-5d6f-a1cd-cb713f47468a
task_key: test--e97000f7-7265-5d6f-a1cd-cb713f47468a
task_revision_id: 4
config / split: / test

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