document.write( "Question 56677: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, c² = a² + b², where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.
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document.write( "Answer:
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document.write( "Show work in this space \r
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document.write( "thank you tine \n" );
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Algebra.Com's Answer #38453 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "A right triangle is a triangle with one angle measuring 90°.\r\n" ); document.write( "In a right triangle, the sides are related by Pythagorean \r\n" ); document.write( "Theorem, c² = a² + b², where c is the hypotenuse (the side \r\n" ); document.write( "opposite the 90° angle). Find the hypotenuse when the other \r\n" ); document.write( "2 sides’ measurements are 6 feet and 8 feet.\r\n" ); document.write( "Answer: \r\n" ); document.write( "Show work in this space \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Substitute 6 for a and 8 for b\r\n" ); document.write( "\r\n" ); document.write( "c² = a² + b²\r\n" ); document.write( "c² = 6² + 8²\r\n" ); document.write( "c² = 36 + 64\r\n" ); document.write( "c² = 100\r\n" ); document.write( "\r\n" ); document.write( " Now take the square root of both sides:\r\n" ); document.write( " __ ___\r\n" ); document.write( "Öc² = Ö100\r\n" ); document.write( " c = 10\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "Notice that you could have substituted 8 for a and 6 for b\r\n" ); document.write( "and gotten the same thing:\r\n" ); document.write( "\r\n" ); document.write( "Substitute 8 for a and 6 for b\r\n" ); document.write( "\r\n" ); document.write( "c² = a² + b²\r\n" ); document.write( "c² = 8² + 6²\r\n" ); document.write( "c² = 64 + 36\r\n" ); document.write( "c² = 100\r\n" ); document.write( "\r\n" ); document.write( "Now take the square root of both sides:\r\n" ); document.write( " __ ___\r\n" ); document.write( "Öc² = Ö100\r\n" ); document.write( " c = 10\r\n" ); document.write( "\r\n" ); document.write( "It doesn't matter which leg is called \"a\" and which one is called \"b\",\r\n" ); document.write( "but it does matter which side is called \"c\", because c is always the \r\n" ); document.write( "longest side, and also the side which is opposite the 90° angle.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |