document.write( "Question 382673: Triangle has 2 sides that are lengths of 17 and 22. Which don't match up the length of the 3rd side? \r
\n" ); document.write( "\n" ); document.write( "A) 40
\n" ); document.write( "B) 21
\n" ); document.write( "C) 35
\n" ); document.write( "D) 32 \n" ); document.write( "

Algebra.Com's Answer #271127 by kingme18(98) $\"\"$ $\"About$

You can put this solution on YOUR website!
In any triangle, if you take the two shortest sides, they MUST add up to longer than the longest side.\r
\n" ); document.write( "\n" ); document.write( "Take a look at what you have. You definitely have sides of length 17 and 22.
\n" ); document.write( "If 40 could be the other side, then your two shortest should add up to longer than the longest: 17+22=39. That is NOT bigger than 40; therefore, 40 cannot be the 3rd side. The answer is A.
\n" ); document.write( "I'm going to go through the others, though, to make sure we're right.
\n" ); document.write( "If we use 21, then the two shortest are 17 and 21. 17+21=38, which is longer than 22 (the third side). 21 would work.
\n" ); document.write( "If we use 35, then our two shortest are 17 and 22. 17+22=39, which is bigger than 35. 35 would work.
\n" ); document.write( "If we use 32, then our two shortest are 17 and 22. 17+22=39, which is bigger than 32. 32 would work.
\n" ); document.write( "We were right--A (40) is the one that doesn't work. \n" ); document.write( "

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