document.write( "Question 955345: In a right triangle, if angle A is 30 degrees, what are the measures of sides a, b, c? Please show work. Thank you. \n" ); document.write( "

Algebra.Com's Answer #583560 by macston(5194) $\"\"$ $\"About$

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The triangle is a 30-60-90 triangle, so we already know
\n" ); document.write( "the sides are in the ratio of $\"1%3Asqrt%283%29%3A2\"$ but to show work:
\n" ); document.write( "A=30 degree angle , side opposite=a
\n" ); document.write( "B=60 degree angle, side opposite=b
\n" ); document.write( "C=90 degree angle, side opposite=c=hypotenuse
\n" ); document.write( "sin(30)=opposite/hypotenuse=a/c
\n" ); document.write( "sin(30)c=a
\n" ); document.write( "c=a/sin(30) a=1,so:
\n" ); document.write( "c=1/0.5=2 When a=1, c=2
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2%29%29%29%0D%0A%7B%7B%7Bb%5E2=c%5E2-a%5E2\"$
\n" ); document.write( " $\"b=sqrt%28c%5E2-a%5E2%29\"$
\n" ); document.write( " $\"b=sqrt%282%5E2-1%5E2%29\"$
\n" ); document.write( " $\"b=sqrt%283%29\"$
\n" ); document.write( "So,if $\"a=x\"$ ,then $\"b=sqrt%283%29x\"$ , and $\"c=2x\"$ .
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