document.write( "Question 929573: the three given points are the vertices of a triangle. solve the triangle, rounding lengths tot he nearest tenth and angle measures to the nearest degree A(0,0) B(-3,5) C(3,-2) \n" ); document.write( "
Algebra.Com's Answer #564461 by lwsshak3(11628)\"\" \"About 
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the three given points are the vertices of a triangle. solve the triangle, rounding lengths tot he nearest tenth and angle measures to the nearest degree A(0,0) B(-3,5) C(3,-2)
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\n" ); document.write( "Plot given points to form a triangle with angle A at (0,0), B at (-3,5) and C at (3,-2).
\n" ); document.write( "Using distance formula:
\n" ); document.write( "AB=√(0+3)^2+(0-5)^2)=√(9+25)=√34
\n" ); document.write( "AC=√(0-3)^2+(0+2)^2)=√(9+4)=√13
\n" ); document.write( "BC=√(-3-3)^2+(5+2)^2)=√(36+49)=√85
\n" ); document.write( "..
\n" ); document.write( "Law of cosine: c^2=a^2+b^2-2abcosA
\n" ); document.write( "(BC)^2=(AB)^2+(AC)^2-2*AB*ACcosA
\n" ); document.write( "√85^2=34+13-2*√34*√13cosA
\n" ); document.write( "85=47-2√442cosA
\n" ); document.write( "38=-42cosA
\n" ); document.write( "cosx=-38/42
\n" ); document.write( "A=154.8˚
\n" ); document.write( "..
\n" ); document.write( "using law of sin:
\n" ); document.write( "BC/sin(154.8˚)=AC/sinB
\n" ); document.write( "sinB=AC*sin(154.8˚)/BC=0.1665
\n" ); document.write( "B=9.6˚
\n" ); document.write( "..
\n" ); document.write( "BC/sin(154.8˚)=AB/sinC
\n" ); document.write( "sinC=AB*sin(154.8˚)/BC=0.2693
\n" ); document.write( "C=15.6˚\r
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