document.write( "Question 536326: the square of the hypotenuse of a right angled isosceles triangle is 128 metres. find the length of the legs. \r
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Algebra.Com's Answer #352305 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Use the Pythagorean theorem:
\n" ); document.write( "\"c%5E2+=+a%5E2%2Bb%5E2\" where: c (the hypotenuse) squared is 128 and the other two sides (these are equal in an isosceles triangle) we'll a and a, so...
\n" ); document.write( "\"128+=+a%5E2%2Ba%5E2\" Simplify.
\n" ); document.write( "\"128+=+2a%5E2\" Divide by 2.
\n" ); document.write( "\"64+=+a%5E2\" Take the square root of both sides.
\n" ); document.write( "\"a+=+8\"
\n" ); document.write( "The length of each leg is 8 meters.
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