What is the width of a rectangle if the diagonal is 28 and the length is 19?

Question

1342 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-29T16:17:58

#w = 3sqrt47#

width #= 20.57#

enter image source here

The diagonal of a rectangle creates a right triangle, allowing us to use the Pythagorean Theorem to solve for the missing side.

#a^2+b^2=c^2#

#w^2 + l^2 =d^2#

#d=28#
#l=19#
#w=?#

#w^2+19^2=28^2#

#w^2+361=784#

#w^2cancel(+361) cancel(-361)=784 - 361#

#w^2 = 423#

#w=sqrt423#

#w=sqrt(3*3*47)#

#w = 3sqrt47#

width #= 20.57#