document.write( "Question 172762: I have two questions.
\n" ); document.write( "1. Find the area of triangle ABC if A=56 degrees, b=20 ft, and c=12 ft. Round to the nearest tenth.
\n" ); document.write( "2. In triangle ABC, A=35 degrees, a=43 and c=20. Determine whether triangle ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.
\n" ); document.write( "I must show all my work, and I'm not really sure how to do either problem.
\n" ); document.write( "thanks
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Algebra.Com's Answer #127645 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
We know the Area of a Triangle: \"A%5BT%5D=%281%2F2%29bh\"
\n" ); document.write( "1) let's see the triangle with given dimensions:
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\n" ); document.write( "Simply by Trigo function: we can get \"d=height\":
\n" ); document.write( "\"sin56%5Eo=opp%2Fhyp=d%2F12\"
\n" ); document.write( "\"d=%28sin56%5Eo%29%2812%29=9.95ft\"
\n" ); document.write( "Therefore:
\n" ); document.write( "\"A=%281%2F2%29bh=%281%2F2%29%2820%29%289.95%29\"
\n" ); document.write( "\"highlight%28A=99.5ft%5E2%29\", Answer
\n" ); document.write( ".
\n" ); document.write( "2)In triangle ABC, A=35 degrees, a=43 and c=20. Then solve the triangle.
\n" ); document.write( "I guess you're just finding the dimensions of the this triangle?
\n" ); document.write( "Okay, we'll see 1st the triangle:
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\n" ); document.write( "same thing, by trigo Function we solve for \"d\":
\n" ); document.write( "\"Sin35%5Eo=d%2F20\"
\n" ); document.write( "\"d=%28sin35%5Eo%29%2820%29=11.47ft\"
\n" ); document.write( "For Angle C:
\n" ); document.write( "\"sinC=d%2Fa\" --->\"C=sin%5E%28-1%29%2811.47%2F43%29\"
\n" ); document.write( "\"C=15.47%5Eo\"
\n" ); document.write( ".
\n" ); document.write( "therefore, Angle \"B=180-A-C=180-35-15.47\"
\n" ); document.write( "\"B=129.53%5Eo\"
\n" ); document.write( ".
\n" ); document.write( "For side \"b\", USE COSINE Law:
\n" ); document.write( "\"b%5E2=a%5E2%2Bc%5E2-2accosB\"
\n" ); document.write( "\"b%5E2=43%5E2%2B20%5E2-2%2843%29%2820%29cos129.53%5Eo\"
\n" ); document.write( "\"b=sqrt%283343.735%29\"
\n" ); document.write( "\"b=57.83ft\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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