document.write( "Question 1182275: Determine the area of the triangle △ABC in the diagram below. Round the answer to two decimal places if needed.\r
\n" ); document.write( "\n" ); document.write( "https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing \n" ); document.write( "
Algebra.Com's Answer #812258 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The bottom △BCD is isosceles, so we draw the median DE, which is also\r\n" );
document.write( "the perpendicular bisector of the base, and also the bisector of the vertex\r\n" );
document.write( "angle D.  So it bisects the angle into two 35o angles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28%22%22%3CBDE%29=%22BE%22%2F%22BD%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%2835%5Eo%29=BE%2F15%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 15\r\n" );
document.write( "\r\n" );
document.write( "\"15sin%2835%5Eo%29=BE\"\r\n" );
document.write( "\r\n" );
document.write( "\"8.603646545=BE\"\r\n" );
document.write( "\r\n" );
document.write( "So the base of △ABC is BC which is twice that amount, so\r\n" );
document.write( "\r\n" );
document.write( "\"BC=2%288.603646545%29=17.20729309\"\r\n" );
document.write( "\r\n" );
document.write( "Now we need the altitude of △ABC, which is AC\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28%22%22%3CA%29=%22BC%22%2F%22AC%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"tan%2827%5Eo%29=17.20729309%2F%22AC%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by AC\r\n" );
document.write( "\r\n" );
document.write( "\"%22AC%22tan%2827%5Eo%29=17.20729309%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22AC%22=17.20729309%2Ftan%2827%5Eo%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22AC%22=33.77121419\"\r\n" );
document.write( "\r\n" );
document.write( "Area of △ABC = \"1%2F2\"\"base\"\"%22%22%2A%22%22\"\"altitude\"\r\n" );
document.write( "\r\n" );
document.write( "Area of △ABC = \"expr%281%2F2%29%2ABC%2AAC\"\r\n" );
document.write( "\r\n" );
document.write( "Area of △ABC = \"expr%281%2F2%29%2A17.20729309%2A33.77121419\"\r\n" );
document.write( "\r\n" );
document.write( "Area of △ABC = \"expr%281%2F2%29%2A17.20729309%2A33.77121419\"\r\n" );
document.write( "\r\n" );
document.write( "Area of △ABC = \"Area+of+%E2%96%B3ABC+=+%7B%7B%7B290.5555903\"\r\n" );
document.write( "\r\n" );
document.write( "Rounded to two decimal places, 290.56\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );