document.write( "Question 167929This question is from textbook Algebra 1
\n" ); document.write( ": Hi! My problem shows a triangle that has angle A a 21 acute degree angle, sides AC is 13 inches, and is a right triangle.
\n" ); document.write( "What I have figured out:
\n" ); document.write( "angle B = 61 degrees
\n" ); document.write( "and sides CB = 5 inches
\n" ); document.write( "What I need:
\n" ); document.write( "sides AB
\n" ); document.write( "Thank You!
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #123841 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
If that's a right triangle, then $\"A%2BB%2BC=180%5Eo\"$ right?
\n" ); document.write( "Since $\"A=21%5Eo\"$ in that right triangle $\"C=90%5Eo\"$ , then
\n" ); document.write( " $\"21%2BB%2B90=180\"$
\n" ); document.write( " $\"B=180-90-21\"$
\n" ); document.write( " $\"B=69%5Eo\"$
\n" ); document.write( "Let's see the triangle below:
\n" ); document.write( "

---> RED Line $\"AB\"$ =unknown?; Blue Line $\"AC\"$ =13\"; GREEN Line $\"BC\"$ =5\"\r
\n" ); document.write( "\n" ); document.write( "Now, if $\"BC=5\"$ , by trigo functions ----> $\"sin%28alpha%29=opp%2Fhyp=BC%2FAB\"$
\n" ); document.write( " $\"sin21%5Eo=5%2FAB\"$
\n" ); document.write( " $\"AB=5%2Fsin21%5Eo=highlight%2813.952inches=AB%29\"$
\n" ); document.write( "Check: Remember in a right triangle:
\n" ); document.write( " $\"hyp%5E2=opp%5E2%2Badj%5E2\"$ ---> $\"AB%5E2=BC%5E2%2BAC%5E2\"$
\n" ); document.write( " $\"13.952%5E2=5%5E2%2B13%5E2\"$
\n" ); document.write( " $\"194.658=25%2B169\"$
\n" ); document.write( " $\"194.658%3E=194\"$ , close enough, round off.
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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