Can a quadrilateral ABCD of area 1 be such that all points P have the property that at least one triangle (PAB, PBC, PCD, PDA) has an irrational area?

score 692 · Answer 13 · 2019-10-19 11:39:02

692

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Points X, Y are on sides CA and AB of triangle ABC and BX, CY meet at P. If AX:XC = BY:YA =1:2, find ratio BP:PX

Published on 19 Oct 2019 - 11:39

score 50 · Answer 14 · 2019-10-19 16:41:48

50

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Calculate the smallest possible value to measure the BAC angle.

Published on 19 Oct 2019 - 16:41

score 39 · Answer 15 · 2019-10-19 22:44:59

39

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Finding minimum dimension of space in which lines don't cross

Published on 19 Oct 2019 - 22:44

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Can a quadrilateral ABCD of area 1 be such that all points P have the property that at least one triangle (PAB, PBC, PCD, PDA) has an irrational area?

Points X, Y are on sides CA and AB of triangle ABC and BX, CY meet at P. If AX:XC = BY:YA =1:2, find ratio BP:PX

Calculate the smallest possible value to measure the BAC angle.

Finding minimum dimension of space in which lines don't cross

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