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Assam Mathematics Olympiad 2023 Category III Q12

Source:

September 11, 2024

Problem Statement

In quadrilateral

ABCD

,

AD || BC

, diagonals

AC

and

BD

are perpendicular to each other,

X

and

Y

are mid-points of

AB

and

CD

respectively. Prove that

AB + CD \geq AD + BC

.

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