document.write( "Question 1051233: If the area of an isosceles triangle is 56 units squared and the base is one third of the height, what is the perimeter? Round all decimals to one decimal place to determine the proper solution \n" ); document.write( "

Algebra.Com's Answer #666799 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%281%2F2%29bh=56\"$
\n" ); document.write( " $\"%28h%2F3%29h=112\"$
\n" ); document.write( " $\"h%5E2=336\"$
\n" ); document.write( " $\"h=sqrt%28336%29\"$
\n" ); document.write( " $\"b=sqrt%28336%29%2F3\"$
\n" ); document.write( "The height and half the base form a right triangle.
\n" ); document.write( "The side of the isosceles triangle is the hypotenuse of that triangle.
\n" ); document.write( " $\"h%5E2%2Bb%5E2=s%5E2\"$
\n" ); document.write( " $\"%28sqrt%28336%29%29%5E2%2B%28sqrt%28336%29%2F6%29%5E2=s%5E2\"$
\n" ); document.write( " $\"336%2B336%2F36=s%5E2\"$
\n" ); document.write( " $\"s%5E2=%2837%2F36%29%28336%29\"$
\n" ); document.write( " $\"s=%282%2F3%29sqrt%28777%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"P=s%2Bs%2Bb\"$
\n" ); document.write( " $\"P=%284%2F3%29sqrt%28777%29%2Bsqrt%28336%29%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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