document.write( "Question 669873: In the isosceles right triangle ᐃABC, AB=10 feet. what is the length of AC? \n" ); document.write( "

Algebra.Com's Answer #416606 by Edwin McCravy(20055) $\"\"$ $\"About$

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In the isosceles right triangle ᐃABC, AB=10 feet. what is the length of AC?\r
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document.write( "That depends on how the vertices of the triangle are labeled.\r\n" );
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document.write( "If the triangle is labeled like this:\r\n" );
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document.write( " then BC is also 10 feet \r\n" );
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document.write( "So we use the Pythagorean theorm:\r\n" );
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document.write( "AC² = AB² + BC²\r\n" );
document.write( "AC² = 10² + 10²\r\n" );
document.write( "AC² = 100 + 100\r\n" );
document.write( "AC² = 200\r\n" );
document.write( " AC = Ö200\r\n" );
document.write( " AC = Ö100·2\r\n" );
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document.write( " AC = 10Ö2\r\n" );
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document.write( "But if the triangle is labeled like this:\r\n" );
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document.write( " then AC is also 10 feet \r\n" );
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document.write( "Then the answer is 10 feet and you don't need the Pythagorean theorm,\r\n" );
document.write( "only the knowledge that isosceles triangles have two sides of equal\r\n" );
document.write( "length. \r\n" );
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document.write( "Edwin

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