Question

One leg of a right triangle is 1 inch longer than the other leg. The hypotenuse has a length of 5 inches. Find the length of the two legs of the triangle

Answer 1

So this is the answer because 4 is 1 more than 3however, you need to have the work, so...n and n+1 are the legs5^2=n^2+(n+1)^225=n^2+n^2+2n+12n^2+2n+1-25=02n^2+2n-24=0divide both sides by 2n^2+n-12=0factor(n+4)(n-3)=0n-3=0n=3 inchesn+1=4 inches