Question: The length of one leg of a right triangle is 3 feet shorter than the other leg. The length of the hypotenuse is 3 feet longer than the longer leg. What is the length of the shortest leg of the triangle?

9

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:

→Subtract from both sides:

→Subtract 12x from both sides:

→Factor out x:

→Separate, set = to 0, and solve:

       →      Add 12 to both sides:        

→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.

→All we need to do is take 12, and plug it into the equation for the shortest leg.

step-by-step explanation:

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.