One leg of a right triangle is 3 meters shorter than the other leg. if the hypotenuse is 14 meters, find the length of the two legs. approximate your answers to the nearest tenth of a meter. answer with the smaller of the legs first.

Length of one leg =x = 11.3 m

Length of another leg = 11.3-3 = 8.3 m

Step-by-step explanation:

Let one leg of the right triangle be x , then the other leg be x-3.

Hypotenuse = 14 meters

Then for the given situation , we have

Which is a quadratic equation.

For quadratic equation, the root of equation is

In , a= 2  , b= -6 and c=-187 , then

Side cannot be negative , so avoid x=-8.285.

so

⇒ Length of one leg =x = 11.3 m

Length of another leg = 11.3-3 = 8.3 m