document.write( "Question 310983: Find the short leg of a 30-60-90 triangle,if the hypotenuse measures 7 feet. \n" ); document.write( "
Algebra.Com's Answer #222412 by CharlesG2(834)\"\" \"About 
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Find the short leg of a 30-60-90 triangle,if the hypotenuse measures 7 feet.\r
\n" ); document.write( "\n" ); document.write( "sohcahtoa --> sin = opp/hyp, cos = adj/hyp, tan = opp/adj
\n" ); document.write( "pythagorean theorem --> a^2 + b^2 = c^2, where a and b are legs, and c is the hypotenuse\r
\n" ); document.write( "\n" ); document.write( "sin 30 = opp/7
\n" ); document.write( "0.5 = opp/7
\n" ); document.write( "7 * 0.5 = opp
\n" ); document.write( "3.5 = opp --> short leg
\n" ); document.write( "cos 30 = adj/7
\n" ); document.write( "sqrt(3)/2 = adj/7
\n" ); document.write( "7sqrt(3)/2 = adj
\n" ); document.write( "6.06218 approx. = adj --> long leg
\n" ); document.write( "check:
\n" ); document.write( "(7/2)^2 + (7sqrt(3)/2)^2 = c^2
\n" ); document.write( "49/4 + (49*3)/4 = c^2
\n" ); document.write( "(49 + 147)/4 = c^2
\n" ); document.write( "196/4 = c^2
\n" ); document.write( "49 = c^2
\n" ); document.write( "7 = c\r
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