Question 1078089
Let b denote the longer leg, a denote the shorter leg, and c denote the hypotenuse
 
c=b+1 (1)
a=7 (2)
Pythagorean theorem:a^2+b^2=c^2 (3)

We have 3 equations and only 2 unknowns, so let's solve them:

First, let's solve for b by substituting (1) and (2) into (3):

(7)^2+b^2=(b+1)^2
49+b^2=b^2+2b+1
49=2b+1
2b=48
b=24

Now we can plug a=7 and b=24 into (3):

c^2=7^2+24^2
c^2=625
[c=25]

Hence, the hypotenuse is 25 inches.