The lengths of the diagonals of a parallelogram are AC = 28 cm and BD = 24 cm. The diagonals intersect at an angle of 34°. Find the lengths of the parallelogram's sides. (Hint: Diagonals of a parallelogram bisect one another.)

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
Section4.1: Properties Of A Parallelogram
Problem 36E: When the bisectors of two consecutive angles of a parallelogram meet at a point on the remaining...
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The lengths of the diagonals of a parallelogram are AC = 28 cm and BD = 24 cm. The diagonals intersect at an angle of 34°. Find the lengths of the
parallelogram's sides. (Hint: Diagonals of a parallelogram bisect one another.)
The length of the short side AB is cm.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:The lengths of the diagonals of a parallelogram are AC = 28 cm and BD = 24 cm. The diagonals intersect at an angle of 34°. Find the lengths of the parallelogram's sides. (Hint: Diagonals of a parallelogram bisect one another.) The length of the short side AB is cm. (Do not round until the final answer. Then round to the nearest tenth as needed.)
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