Answer
AB=11
Work Step by Step
Perimeter of isosceles △ABC = sum of all three sides
P=AB+BC+AC
Let AB=x, so AC=x because isosceles triangle
$36.4=x+14.4+x$
$2x=36.4-14.4$
$2x= 22$
$x=11$
So AB=11
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 160: 32
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