document.write( "Question 1151970: What is the area of an isosceles right triangle with perimeter 8+4√2? \n" ); document.write( "
Algebra.Com's Answer #773839 by MathLover1(20850)\"\" \"About 
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What is the area of an isosceles right triangle with perimeter \"8%2B4sqrt%282%29\"?\r
\n" ); document.write( "\n" ); document.write( "Isosceles Right Triangle:
\n" ); document.write( "A right triangle with the two legs (and their corresponding angles) equal. \r
\n" ); document.write( "\n" ); document.write( "the perimeter of an isosceles triangle, the expression \"P=2s+%2B+b\" is used, where \"s\" represents the length of the two congruent sides and \"b\" represents the length of the base\r
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\n" ); document.write( "\n" ); document.write( "use the Pythagorean Theorem, which states that \"s%5E2+%2B+s%5E2+=+b%5E2\", to express \"b\" in terms of \"s\"\r
\n" ); document.write( "\n" ); document.write( "\"2s%5E2+=+b%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%282s%5E2%29+=+b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=s%2Asqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "then substitute in
\n" ); document.write( "\"P=2s+%2B+b\"\r
\n" ); document.write( "\n" ); document.write( "\"8%2B4sqrt%282%29=2s+%2B+s%2Asqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"8%2B4sqrt%282%29=s%282%2B+sqrt%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"s=%288%2B4sqrt%282%29%29%2F%282%2B+sqrt%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"s=4%282%2Bsqrt%282%29%29%2F%282%2B+sqrt%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"s=4cross%28%282%2Bsqrt%282%29%29%29%2Fcross%28%282%2B+sqrt%282%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"s=4\"\r
\n" ); document.write( "\n" ); document.write( " then the area of an isosceles right triangle is:\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29s%2As\"\r
\n" ); document.write( "\n" ); document.write( "\"A=s%5E2%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=4%5E2%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=16%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=8\"
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