Question 727909

recall, the diagonal divides a rectangle into two right angle triangles; so,the diagonal {{{d}}} is hypotenuse, the width {{{W}}} and the length {{{L}}} are legs

use Pythagorean theorem to calculate the length {{{L}}}

if the diagonal {{{d}}} of a rectangular field is {{{50m}}} and its width {{{W}}} is {{{14m}}}, than the length {{{L}}} will be:

{{{d^2=L^2+W^2}}}

{{{L^2=d^2-W^2}}}

{{{L^2=(50m)^2-(14m)^2}}}

{{{L^2=2500m^2-196m^2}}}

{{{L^2=2304m^2}}}

{{{L=sqrt(2304m^2)}}}..you will need only positive root since the length cannot be negative

{{{L=48m^2}}}