document.write( "Question 974948: Based on the diagram above, a student determined the hypotenuse of the triangle to be 6 ratio 3. Determine if the student's answer is correct. If it is not correct, find the correct length.\r
\n" );
document.write( "\n" );
document.write( "In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.
\n" );
document.write( "In a 45°-45°-90° triangle, the length of the hypotenuse is 11. Find the length of one of the legs.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #596753 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 30-60-90 has ratio of 1, sqrt (3), 2 \n" ); document.write( "If hypotenuse 30, short side is 15, and longer is 15 (sqrt(3) ) \n" ); document.write( "900=225+675 by Pythagorean theorem.\r \n" ); document.write( "\n" ); document.write( "45-45-90 triangle \n" ); document.write( "hypotenuse is 1; legs are sqrt(2)/2\r \n" ); document.write( "\n" ); document.write( "11/sqrt(2)= (11/2) * sqrt (2)\r \n" ); document.write( "\n" ); document.write( "Pythagorean Theorem \n" ); document.write( "121=(121/4)*2 * 2 legs=121 \n" ); document.write( " \n" ); document.write( " |