In parallelogram ABCD, point S is the intersection point of its diagonals. The perimeter of ACDS is 5.6 cm smaller than the perimeter of ABCS. The angle bisector of ZBAD intersects segment BC in point M. Find the lengths of sides of the parallelogram if BM| : |MC| = 7: 4. (Solve this task without using Trigonometry)

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
Section3.4: Basic Constructions Justified
Problem 37E: Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the...
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In parallelogram ABCD, point S is the intersection point of its diagonals. The perimeter of ACDS is 5.6 cm smaller than the
perimeter of ABCS. The angle bisector of ZBAD intersects segment BC in point M. Find the lengths of sides of the
parallelogram if |BM|: |MC| =7:4. (Solve this task without using Trigonometry)
Transcribed Image Text:In parallelogram ABCD, point S is the intersection point of its diagonals. The perimeter of ACDS is 5.6 cm smaller than the perimeter of ABCS. The angle bisector of ZBAD intersects segment BC in point M. Find the lengths of sides of the parallelogram if |BM|: |MC| =7:4. (Solve this task without using Trigonometry)
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