Answer:Q: What is the unknown information that could be found using the Pythagorean theorem?
A: The hypotenuse, or the length of the ladder.
Q: what is the approximate length of the ladder needed, rounding to the nearest hundredth?
A: 12.37 ft.
Pythagoras theorem states that in a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The height of the wall is 12 foot.
The distance between the bottom of the ladder and the bottom of the wall is 3 feet.
Pythagoras theorem states that in a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Here in the given problem the height of the ladder is hypotenuse as shown in figure below.
Suppose the length of the ladder is [tex]l[/tex] feet. Thus according to the Pythagoras theorem
[tex]l^2=12^2+3^2} [/tex]
[tex]l=\sqrt{12^2+3^2} [/tex]
[tex]l=\sqrt{144+9} [/tex]
[tex]l=\sqrt{153} [/tex]
[tex]l=12.37[/tex]
Thus,
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
