SOLUTION: the diagonal of a rectangular field is 50 m and its breadth is 14 m .find its lenght

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Question 727909: the diagonal of a rectangular field is 50 m and its breadth is 14 m .find its lenght
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

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%5E2=L%5E2%2BW%5E2
L%5E2=d%5E2-W%5E2
L%5E2=%2850m%29%5E2-%2814m%29%5E2
L%5E2=2500m%5E2-196m%5E2
L%5E2=2304m%5E2
L=sqrt%282304m%5E2%29..you will need only positive root since the length cannot be negative
L=48m%5E2