Question 442534
Let c represent the hypotenuse in a right triangle. Let a,b be the legs.

Recall a^2 + b^2 = c^2

Let's select a to be 8 inches. 

And let's let b = c-6, since b is 6 less than the hypotenuse.

Then:

{{{8^2 + (c-6)^2  = c^2}}}
{{{64 + c^2 -12c + 36 = c^2}}}
{{{-12c + 100 = 0}}}
{{{4(-3c + 25) = 0}}}
{{{-3c = -25  = c =25/3}}}

Since b = c-6, then b = 25/3 -6 = 7/3  

Thus we have {{{a= 8}}} {{{b= 7/3}}} {{{c=25/3}}}