beam w/ cross-sectional side-length x to be cut from log w/

[limeman33]

A beam with a square cross-section of side x centimetres is to be cut from a cylindrical log of diameter 50cm. What is the length of side of the largest square which can be cut from this log

 

[soroban]

Re: maths

Hello, limeman33!

Did you make a sketch?

A beam with a square cross-section of side x cm is to be cut from a cylindrical log of
diameter 50cm. What is the length of side of the largest square which can be cut from this log?

              * * *
          *           *
        *---------------*
       *|             * |*
        |           *   |
      * |     50  *     | *
      * |       *     x | *
      * |     *         | *
        |   *           |
       *| *     x       |*
        *---------------*
          *           *
              * * *

Are you familiar with Pythagorus?