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Lengths of sides of AABC are |ÅB| = 8, |BC|= 16, and |AC = 10. On segment AB point M is chosen. Point N is the point of

Lengths of sides of AABC are |ÅB| = 8, |BC|= 16, and |AC = 10. On segment AB point M is chosen. Point N is the point of

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Lengths of sides of AABC are |ÅB| = 8, |BC| = 16, and |AC = 10. On segment AB point M is chosen. Point N is the point of intersection of segment AC and the line that pass through the point M and it is perpendicular to the angle bisector of ZBAC. Point P is the point of intersection of segment BC and the line that pass through the point M and it is perpendicular to the angle bisector of ZABC such that |CP = 2 CN.Find the ratio |AM| : |MB|. (Solve this task without using Trigonometry)
Transcribed Image Text:Lengths of sides of AABC are |ÅB| = 8, |BC| = 16, and |AC = 10. On segment AB point M is chosen. Point N is the point of intersection of segment AC and the line that pass through the point M and it is perpendicular to the angle bisector of ZBAC. Point P is the point of intersection of segment BC and the line that pass through the point M and it is perpendicular to the angle bisector of ZABC such that |CP = 2 CN.Find the ratio |AM| : |MB|. (Solve this task without using Trigonometry)
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