A ladder is placed against the side of a house. The length of the ladder is 13 feet.
What is Pythagoras' Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A ladder is placed against the side of a house. The top of the ladder is 12 feet above the ground.
The base of the ladder is 5 feet away from the house.
This is basically a right triangle.
To find the length, we have to use the Pythagorean theorem:
[tex]12^2 + 5^2 = c^2\\144 + 25 = c^2\\c^2 = 169\\c = 13[/tex]
Thus, The length of the ladder is 13 feet.
Learn more about Pythagoras' theorem here:
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