document.write( "Question 451378: given triangle GHI and side g = 6; side h = 2. find the measurement of angle G if I is a right andle. \n" ); document.write( "

Algebra.Com's Answer #533381 by Fombitz(32388) $\"\"$ $\"About$

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$\"g=6\"$
\n" ); document.write( " $\"h=2\"$
\n" ); document.write( "Since it's a right triangle, use the Pythagorean theorem.
\n" ); document.write( "Since i side is opposite the right angle, it is the hypotenuse.
\n" ); document.write( " $\"i%5E2=g%5E2%2Bh%5E2\"$
\n" ); document.write( " $\"i%5E2=6%5E2%2B2%5E2\"$
\n" ); document.write( " $\"i%5E2=36%2B4\"$
\n" ); document.write( " $\"i%5E2=40\"$
\n" ); document.write( " $\"i=sqrt%2840%29\"$
\n" ); document.write( " $\"i=2sqrt%2810%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"sin%28G%29=OPP%2FHYP=g%2Fi\"$
\n" ); document.write( " $\"sin%28G%29=6%2F%282sqrt%2810%29%29\"$
\n" ); document.write( " $\"sin%28G%29=%283%2F10%29sqrt%2810%29\"$
\n" ); document.write( " $\"G=71.6\"$ degrees
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