SOLUTION: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 44 feet more than its distance fro

Question 1023208: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 44 feet more than its distance from the wall.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you draw the situation, you'll notice it's a right triangle.
Let the distance from the wall be x.
Then the length of the ladder, and the hypotenuse of the triangle, will be x+44.
Now applying the Pythagorean Theorem, we have
12^2 + x^2 = (x+44)^2
x^2 + 144 = x^2 + 88x + 1936
This turns out to be impossible.
I think you meant 4 feet more...please resubmit...if it is, the length of the ladder is 20 feet...
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