The measures of the three sides of a triangle are AB=30cm AC=50cm , and BC=60cm . From a point D on the side of AB, a line DE is drawn through a point E on the side of AC such that the angle AED is equal to angle ABC. If the perimeter of the triangle ADE is equal to 56cm, find the sum of the lengths of the line segments BD and CE.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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The measures of the three sides of a triangle are AB=30cm AC=50cm , and BC=60cm . From a point D on the side of AB, a line DE is drawn through a point E on the side of AC such that the angle AED is equal to angle ABC. If the perimeter of the triangle ADE is equal to 56cm, find the sum of the lengths of the line segments BD and CE.

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