Mathematics

Problem

A carpenter is building a support brace in the shape of a rectangle

ABCD

with

AB = 80\,\text{cm}

and

BC = 60\,\text{cm}

. He adds a diagonal

AC

. He then wants to add a strut from vertex

B

\perp

the diagonal

AC

, meeting it at point

E

. Find the length of this strut

BE