document.write( "Question 1018155: A triangle with sides 17cm, 39cm and 44cm contains an inscribed circle with circumference 13 1/5 pi cm. what is the area of part of the triangle that is outside the inscribed circle? Express your answer in terms of pi. \n" ); document.write( "

Algebra.Com's Answer #634376 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A triangle with sides 17cm, 39cm and 44cm contains an inscribed circle with circumference 13 1/5 pi cm. what is the area of part of the triangle that is outside the inscribed circle? Express your answer in terms of pi.
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document.write( "The triangle with sides 17, 39 and 44 is Heronian triangle \r\n" );
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document.write( "It has the perimeter of 100 units (halpf of the perimeter is 50 units), and the area of 330 square units. \r\n" );
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document.write( "(To find the area, apply the Heronian formula. See the lesson Proof of the Heron's formula for the area of a triangle in this site).\r\n" );
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document.write( "The radius of the inscribed circle is  =  =  units.\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 in this site).\r\n" );
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document.write( "So, the circumference of the inscribed circle is  =  units.\r\n" );
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document.write( "Therefore, there is no need to include this data into the condition. It is calculated from the triangle side measures by the unique way.\r\n" );
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document.write( "The answer to your question is   330 - .\r\n" );
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