document.write( "Question 1040926: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 6 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 3 ft less than the length of the​ ladder? \n" ); document.write( "
Algebra.Com's Answer #655895 by josgarithmetic(39617)\"\" \"About 
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hypotenuse, same as the ladder, h
\n" ); document.write( "leg on the wall, h-6
\n" ); document.write( "leg on the ground, h-3\r
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\n" ); document.write( "\n" ); document.write( "Pythagorean Theorem Relationship because Right Triangle: \"h%5E2=%28h-6%29%5E2%2B%28h-3%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"h%5E2=h%5E2-12h%2B36%2Bh%5E2-6h%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"0=h%5E2-18h%2B45\"\r
\n" ); document.write( "\n" ); document.write( "\"%28h-15%29%28h-3%29=0\"
\n" ); document.write( "One root makes sense and the other root makes no sense.
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