You can put this solution on YOUR website!
Let's say that you have a ladder resting against a wall. You know that the ladder is 10 feet long (it says so on the ladder itself) and you know that the ladder reaches 8 feet on the wall (ie the 8 ft mark on the wall) since there's a tape measure that runs from the ceiling to the floor. Now the question is: How far is the base of the ladder from the wall?
Just as a visual guide, here's what the problem would look like:
Now let's say that you want to solve this problem:
Since the legs are
this means that
Also, since the hypotenuse is
, this means that
Start with the Pythagorean theorem.
from both sides.
Combine like terms.
Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).
Simplify the square root.
So the solution is
This means that the base of the ladder is 6 ft from the wall.