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A painter leans a 15 foot ladder against the side of a house. The top of the ladder touches the house at a height that is 3 feet more than the distance from the house to the bottom of the ladder. How far is the bottom of the ladder from the house?

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2 answers
  1. x^2 + (x+3)^2 = 15^2
    hint: think of a 3-4-5 right triangle

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  2. 15*15=225
    x*x=x^2
    (x+3)*(x+3)=X^2+9
    225=x^2+x^2+9
    225=2x^2+9
    216=2x^2
    108=x^2
    10.39=x

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