document.write( "Question 1104597: Help!! I am in math two and need help really bad. I solved this problem: The height of a triangular window is 3 feet less than its base. If the area of the window is 20
\n" ); document.write( "square feet, find the dimensions of the window. But I don't know if I got the correct answer. PLEASE show me the work and the answer. Thank you so so so soooooo much!!! Have a blessed day. \n" ); document.write( "

Algebra.Com's Answer #719311 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let \"x\" be the length of the base (in feet).\r\n" );
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document.write( "Then the height is (x-3) ft, according to the condition.\r\n" );
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document.write( "The area of a triangle is half the product the base and the altitude.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( " = 20,\r\n" );
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document.write( "x*(x-3) = 2*20 = 40\r\n" );
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document.write( "x^2 -3x - 40 = 0,\r\n" );
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document.write( "(x-8)*(x+5) = 0 ====>  x= 8 is the only positive solution.\r\n" );
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document.write( "Answer.  The base is 8 ft.  The height is 8-3 = 5 ft.\r\n" );
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