Answer
length=12 cm
Work Step by Step
In a rectangle diagonal make two congruent right triangles.
So by Pythagoras theorem
$Diagonal^{2}= width^{2}+length^{2}$
$20^{2}=16^{2}+length^{2}$
$400=256+length^{2}$
$144=length^{2}$
length=12 cm
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
9781285195698
ISBN 13:
978-1-28519-569-8
Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 241: 21
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