document.write( "Question 316471: find the area of triangle whose sides are 5 cm ,12 cm & 13 cm. also find the length of the shortest altitude. \n" ); document.write( "

Algebra.Com's Answer #226517 by Fombitz(32388) $\"\"$ $\"About$

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Use Heron's theorem,
\n" ); document.write( " $\"s=%281%2F2%29%28a%2Bb%2Bc%29=%281%2F2%29%285%2B12%2B13%29=15\"$
\n" ); document.write( " $\"A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"$
\n" ); document.write( " $\"A=sqrt%2815%2815-5%29%2815-12%29%2815-13%29%29\"$
\n" ); document.write( " $\"A=sqrt%2815%2810%29%283%29%282%29%29\"$
\n" ); document.write( " $\"A=sqrt%28900%29\"$
\n" ); document.write( " $\"highlight%28A=30%29\"$
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\n" ); document.write( "Then use the area of a triangle,
\n" ); document.write( " $\"A=%281%2F2%29bh=30\"$
\n" ); document.write( "Smallest h would have the largest b.
\n" ); document.write( "Use b=13.
\n" ); document.write( " $\"%281%2F2%29%2813%29h=30\"$
\n" ); document.write( " $\"highlight%28h=60%2F13%29\"$ \n" ); document.write( "

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