document.write( "Question 1083153: The base of an isosceles triangle is a=24cm side b=20cm find radius r and R (circumscribed and inscribed circle) \n" ); document.write( "
Algebra.Com's Answer #697231 by ikleyn(52786)\"\" \"About 
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document.write( "For the radius of the circumscribed circle use the formula \r\n" );
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document.write( "R = \"abc%2F4S\",\r\n" );
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document.write( "where a, b and c are the sides measures and S is the area of the triangle.\r\n" );
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document.write( "(See the lesson  Proof of the formula for the radius of the circumscribed circle  in this site).\r\n" );
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document.write( "For the radius of the inscribed circle use the formula \r\n" );
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document.write( "r = \"S%2Fp\",\r\n" );
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document.write( "where a, b and c are the sides measures and p is the semi-perimeter of the triangle.\r\n" );
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document.write( "(See the lesson  Proof of the formula for the area of a triangle via the radius of the inscribed circle  and   in this site).\r\n" );
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document.write( "To find the area of the given triangle, find its altitude drawn to the base first:\r\n" );
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document.write( "h = \"sqrt%28b%5E2+-+%28a%2F2%29%5E2%29\" = \"sqrt%2820%5E2+-+12%5E2%29\" = \"sqrt%28400-144%29\" = \"sqrt%28256%29\" = 16 cm.\r\n" );
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document.write( "Then the area of the triangle is S = \"%281%2F2%29%2Aa%2Ah\" = \"%281%2F2%29%2A24%2A16\" = 192 cm^2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "From this point, complete the solution on your own.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part if this textbook under the topic \"Area of triangles\".\r
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