document.write( "Question 250699: what kind of triangle (acute, obtuse, or right) is radical 73, radical 66, radical 8 \n" ); document.write( "

Algebra.Com's Answer #184748 by drk(1908) $\"\"$ $\"About$

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We need the Pythagorean theorem:
\n" ); document.write( "(i) a^2 + b^2 = C^2.
\n" ); document.write( "There are really three choices:
\n" ); document.write( "If a^2 + b^2 < C^2 then obtuse
\n" ); document.write( "If a^2 + b^2 = C^2 then right
\n" ); document.write( "If a^2 + b^2 > C^2 then acute
\n" ); document.write( "---
\n" ); document.write( "The numbers given must be expressed from least to greatest: sqrt(8), sqrt(66), and sqrt(73). Put them into (i) and find out which of the three we get.
\n" ); document.write( "(sqrt(8))^2 + (sqrt(66))^2 ? (sqrt(73))^2
\n" ); document.write( "8 + 66 ? 73
\n" ); document.write( "74 > 73.
\n" ); document.write( "So we say acute. \n" ); document.write( "

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