document.write( "Question 971394: Write a quadratic equation and solve. The altitude of a triangle is 3cm less than its base. The area of the triangle is 90cm^2. Find the base and altitude. \n" ); document.write( "

Algebra.Com's Answer #593871 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "B=base; H=height (altitude)=B-3cm; A=area=90cm^2
\n" ); document.write( ".
\n" ); document.write( " $\"%281%2F2%29BH=A\"$ Substitute for H.
\n" ); document.write( " $\"%281%2F2%29B%28B-3cm%29=90cm%5E2\"$ Multiply each side by 2.
\n" ); document.write( " $\"B%5E2-3B=180cm%5E2\"$ Subtract 180cm^2 from each side.
\n" ); document.write( " $\"B%5E2-3B-180=0\"$
\n" ); document.write( " $\"%28B-15%29%28B%2B12%29=0\"$
\n" ); document.write( " $\"B-15=0\"$ $\"or\"$ $\"B%2B12=0\"$
\n" ); document.write( " $\"B=15\"$ $\"or\"$ $\"B=-12\"$
\n" ); document.write( "ANSWER 1: The base is 15 centimeters.
\n" ); document.write( " $\"H=B-3cm\"$
\n" ); document.write( " $\"H=15cm-3cm\"$
\n" ); document.write( " $\"H=12+cm\"$
\n" ); document.write( "ANSWER 2: The height (altitude) is 12 centimeters.\r
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