document.write( "Question 38581: An isosceles triangle has an area of 200 square units, and the altitude to the base measures 10 units. What is the perimeter of the triangle? \n" ); document.write( "
Algebra.Com's Answer #24100 by rapaljer(4671)\"\" \"About 
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\"A+=+%281%2F2%29%2Ab%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "\"200+=+%281%2F2%29%2A10%2Ah\"
\n" ); document.write( "\"200+=+5h\"
\n" ); document.write( "\"40+=+h\"\r
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\n" ); document.write( "\n" ); document.write( "The isosceles triangle is actually TWO right triangles, where the base of the isosceles triangle is split in half. Therefore the base of the right triangle is 5 units, and the height is 40 units. Let c = the length of the hypotenuse of the right triangle, which is also one of the equal sides of the isosceles triangles.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+c%5E2\"
\n" ); document.write( "\"5%5E2+%2B+40%5E2+=+c%5E2\"
\n" ); document.write( "\"25+%2B+1600+=+c%5E2\"
\n" ); document.write( "\"1625+=+c%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"c=+sqrt%281625%29=+sqrt%2825%29%2Asqrt%2865%29\"
\n" ); document.write( "\"c+=+5%2Asqrt%2865%29\"\r
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\n" ); document.write( "\n" ); document.write( "Perimeter = sum of the THREE external sides, where
\n" ); document.write( "Base = 10 units
\n" ); document.write( "Each equal side = \"5%2Asqrt%2865%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Perimter = Base + 2 equal sides
\n" ); document.write( "\"+P+=+10+%2B+2%2A5%2Asqrt%2865%29+\"
\n" ); document.write( "\"+P+=+10+%2B+10%2Asqrt%2865%29+\"\r
\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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