SOLUTION: calculate (to the nearest foot) the hypotenuse of a right triangle in which one leg is 9ft and the other leg is 1 ft less than the hypotenuse. I set it up like this: (a-1)^2 +b^2=

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Question 661067: calculate (to the nearest foot) the hypotenuse of a right triangle in which one leg is 9ft and the other leg is 1 ft less than the hypotenuse. I set it up like this:
(a-1)^2 +b^2=9^2
a^2-2a+1+b^2= 81
I don't know what to do with the b^2

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
one leg is 9ft and the other leg is 1 ft less than the hypotenuse
Using the Pythagorean Theorem, This Info Sets UP...
(a-1)^2 + 9^2 = a^2


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let the hypotenuse of a right triangle be
and one leg which is
and the other leg is less than the hypotenuse .
so, we have:

...=>
use Pythagoras theorem:
...substitute and with given values







now find




check:
.....when ,,






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