The shorter leg of a right triangle is 1414 feet less than the other leg. find the length of the two legs if the hypotenuse is 3434 feet.

Let the width be x ft

the length will be (x+14) ft

hypotenuse is 34 ft

given that our triangle is right triangle, using Pythagorean theorem?

c^2=a^2+b^2

substituting our values in the formula we get:

34^2=x^2 + (x+14) ^2

1,156=x^2+x^2+28x+196

simplifying this we get

0=2x^2+28x-960

solving the quadratic equation we get:

x=16 or x=-30

therefore the width is 16 ft and the length is 16+14=30