document.write( "Question 716018: Dear Edwin McCravy,\r
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\n" ); document.write( "\n" ); document.write( "Hopefully you are very fine. Your previous solution worked very well. Now I am asking for another solution.\r
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\n" ); document.write( "\n" ); document.write( "If I have the length of the base of a triagle, an obtuse angle adjacent to the base and the difference between the other two sides of the traingle, how can I draw the triangle.\r
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\n" ); document.write( "\n" ); document.write( "Thanks for your kind perusal and I would be grateful if you please provide me with the solution.\r
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\n" ); document.write( "\n" ); document.write( "Best regards.\r
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Algebra.Com's Answer #439695 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We are given AB, obtuse ∠BAC (but we do not have point C.  I placed\r\n" );
document.write( "C? at an arbitrary place along that side of the given\r\n" );
document.write( "angle, and we are given the length of BC-AC, the green line segment below.\r\n" );
document.write( "We want to draw ߡABC.\r\n" );
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document.write( "We extend CA so that AD = BC-AC \r\n" );
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document.write( "We draw DB\r\n" );
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document.write( "We want to find the point on CD such that BD is the base\r\n" );
document.write( "of an isosceles triangle.  We do this by constructing the\r\n" );
document.write( "perpendicular bisector of BD, which will be the base of the\r\n" );
document.write( "isosceles triangle.  We know that the perpendicular bisector of\r\n" );
document.write( "the base of an isosceles triangle passes through its vertex.\r\n" );
document.write( "That perpendicular bisector is the blue line:\r\n" );
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document.write( "The point where the blue line intersects CD is the desired\r\n" );
document.write( "point C.  We draw the line from that point to B:\r\n" );
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document.write( "ߡCDB is isosceles, so BC = DC, CD - (BC-AC) = BC - (BC-AC) = AC.\r\n" );
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document.write( "So we have drawn ߡABC.\r\n" );
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document.write( "Edwin
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