document.write( "Question 774079: The perimeter of a triangle is 69 cm. Side a is 5 cm shorter than side b. Side c is twice as long as side a. Find the length of each side. \n" ); document.write( "
Algebra.Com's Answer #472035 by DrBeeee(684)\"\" \"About 
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Let the sides be a, b and c. the problem statement gives us the three necessary equations
\n" ); document.write( "(1) a + b + c = 69 and
\n" ); document.write( "(2) b = a + 5 and
\n" ); document.write( "(3) c = 2*a
\n" ); document.write( "Put (2) and (3) into (1) to get
\n" ); document.write( "(4) a + a + 5 + 2*a = 69 or
\n" ); document.write( "(5) 4*a = 64 or
\n" ); document.write( "(6) a = 16
\n" ); document.write( "Then from (2) we get
\n" ); document.write( "(7) b = 21 and (3) gives us
\n" ); document.write( "(8) c = 32
\n" ); document.write( "Check these values with (1).
\n" ); document.write( "Is (16 + 21 + 32 = 69)?
\n" ); document.write( "Is (69 = 69)? Yes
\n" ); document.write( "Answer: The three sides are 16, 21 and 32 cm. \n" ); document.write( "
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