document.write( "Question 187384: Find the base (b) and height (h) of a triangle with an area of 2 square feet if its base is 3 feet longer than its height and the formula for area is A=1/2bh \n" ); document.write( "

Algebra.Com's Answer #140449 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Let Height=h=x(ft)
\n" ); document.write( "Let the Base=b=3+x(ft)
\n" ); document.write( "With Area=A=2ft^2\r
\n" ); document.write( "\n" ); document.write( "Then, $\"A=%281%2F2%29bh\"$
\n" ); document.write( " $\"2%28ft%5E2%29=%281%2F2%29%283%2Bx%29%28x%29\"$ ---> $\"2=%281%2F2%29%283x%2Bx%5E2%29\"$ , Cross multiply
\n" ); document.write( " $\"3x%2Bx%5E2=2%2A2\"$ ---> $\"x%5E2%2B3x-4=0\"$
\n" ); document.write( "Being a perfect square: $\"%28x%2B4%29%28x-1%29=0\"$
\n" ); document.write( "Answer: $\"red%28x=1ft%29\"$ Height; discard, x=-4
\n" ); document.write( "And the Base= $\"3%2B1=red%284ft%29\"$
\n" ); document.write( "In doubt? Go back our Eqn----> $\"2ft%5E2=%281%2Fcross%282%29%29%28cross%284%292%29%281%29\"$
\n" ); document.write( " $\"2ft%5E2=2ft%5E2\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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