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Hello,

The Pythagorean Theorem has practically infinite applications.

Here is an example:
Bob has to clean the gutter on the roof of his house. To reach the roof, he uses a tilted at an angle against the wall. The distance between the ladder and the wall is 6 feet, and the wall is 8 feet tall. How long is the ladder?

Solution: We can create a "triangle" out of this question. The base of the triangle is 6 feet, the height is 8 feet, so using the Pythagorean Theorem we can solve for the height of the ladder:
[tex] 6^{2} + 8^{2} = x^{2} [/tex]
36 + 64 = [tex] x^{2} [/tex]
[tex] x^{2} = 100[/tex]
x = 10 feet
The height of the ladder is 10 feet.

Hope this helps!


You see a slide that forms a right angle from the ground, the length of the slide is 5 feet and its 4 feet high. The ground height is equal to 25-16=9. This become the square root of 9 which is 3.
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