document.write( "Question 79712: REVIEW\r
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\n" ); document.write( "\n" ); document.write( "35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right? \n" ); document.write( "

Algebra.Com's Answer #57223 by Earlsdon(6294) $\"\"$ $\"About$

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Use the Pythagorean theorem to see if this is true.
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$
\n" ); document.write( "The longest side is c = 8.
\n" ); document.write( "The two legs are a = 4 and $\"b+=+4sqrt%283%29\"$ Making the appropriate substitutions, we get:
\n" ); document.write( " $\"8%5E2+=+4%5E2%2B%284sqrt%283%29%29%5E2\"$ Evaluating this:
\n" ); document.write( " $\"64+=+16%2B16%283%29\"$
\n" ); document.write( " $\"64+=+16%2B48\"$
\n" ); document.write( " $\"64+=+64\"$ The triangle is a right triangle. \n" ); document.write( "

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