document.write( "Question 844747: The lengths of the sides of a triangle are in an extended ratio of 7:9:10. The perimeter of the triangle is 78 cm. What is the length of each side? \n" ); document.write( "

Algebra.Com's Answer #508919 by KMST(5328) $\"\"$ $\"About$

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If we say that the longest side measures $\"10x\"$ cm,
\n" ); document.write( "the lengths of the sides, in cm are $\"7x\"$ , $\"9x\"$ and $\"10x\"$ .
\n" ); document.write( "That makes the perimeter, in cm equal to
\n" ); document.write( " $\"7x%2B9x%2B10x=78\"$
\n" ); document.write( "Solving
\n" ); document.write( " $\"7x%2B9x%2B10x=78\"$
\n" ); document.write( " $\"26x=78\"$
\n" ); document.write( " $\"x=78%2F26\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Then $\"7x=7%2A3=21\"$ ,
\n" ); document.write( " $\"9x=9%2A3=27\"$ , and
\n" ); document.write( " $\"10x=10%2A3=30\"$ .
\n" ); document.write( "So the lengths of the sides are
\n" ); document.write( " $\"highlight%2821cm%29\"$ , $\"highlight%2827cm%29\"$ , and $\"highlight%2830cm%29\"$ . \n" ); document.write( "

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