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Description: In the convex quadrilaterial ABCD the diagonals are perpendicular on one another, and they are equal in length, i.e. AC = BD. Prove that AB + CD ≥ AC√2.

Math

Geometry

In the convex quadrilaterial ABCD the diagonals are perpendicular on one another, and they are equal in length, i.e. AC = BD. Prove that AB + CD ≥ AC√2.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 27E

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