Answer:
right-angled triangle
a= shortest side = 7 inches
b= other side of right angle
c= hypotenuse
we know that :
a= 7inches
c-b=1
if c-b=1, then c= 1+b
apply Pythagoras' theorem
a²+b² = c²
7²+b²= (b+1)²
49+b² = b²+2b+1
b²-b²-2b=1-49
-2b=-48
b= 24
b = 24 inches
calculate c (hypotenuse)
c²=a²+b²
c²= 7²+24²
c= V625=25
c= 25 inches
longer leg: 24Inches
hypotenus:25 Inches
the difference between the lengths of the other two sides is 1 inch:
b=24
c= 25
the difference 25-24= 1 inch
Explanation: