Example 4: A ladder 7 feet from the base of a building reaches a window that is 24 feet high, how long is the ladder?

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  Draw a picture

  
  
  
• The Pythagorean Theorem is ______?______
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  Check Your Answer

  a² + b² = c²
  
• Substitute the lengths of the legs for a and b. _______?______
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  24² + 7² = c²
  
• Square the numerical values._____?_______
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  576 + 49 = c²
  
• Add._____?_____
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  625 = c²
  
• Take the square root of both sides. ______?_______
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  √625 = √ c²
  
• Simplify both radicals. ____?_______
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  25 = c
  
• Substitute x, the length of the hypotenuse, for c _____?______
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  x = 25
  
• The ladder is _____?___ feet long.
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  Check Your Answer

  25