# Algebra Project - Pythagorean Theorem

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• Hey Bill, how's the house painting coming along?
• Not very well. I have just one problem that I can't figure out, and it's how long the ladder should be
• It's pretty easy really, you just have to use Pythagorean Theorem
• How could I have been so foolish to forget such an important concept?
• You see, bill, If the wall is 15 feet high, and we need a sturdy base, such as 5 feet, it is quite easy to figure out how long the ladder needs to be. I'll draw it out for you.
• 15 ft.
• 5 ft.
• ?
• I also know that since the ladder is the hypotenuse, it is c. So, c is about 15.811 feet long. Meaning the ladder has to be that long.
• 225 + 25 = c^2 250 = c^2 c  ≈ 15.811 ft.
• a^2  + b^2 = c^2
• Thanks a lot, Henry!
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