document.write( "Question 833040: In an Isosceles right triangle, the length of the hypotenuse is 10 units, how long is each leg? \n" ); document.write( "

Algebra.Com's Answer #502280 by josgarithmetic(39617) $\"\"$ $\"About$

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That is a Special Triangle, with a 90 degree angle and two 45 degree angles. Each leg equals the other leg. Call the leg length of one leg x.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2Bx%5E2=10%5E2\"$ , because we have Pythagorean Theorem for sides of a right triangle.
\n" ); document.write( " $\"2x%5E2=100\"$
\n" ); document.write( " $\"x%5E2=50\"$
\n" ); document.write( " $\"x=sqrt%282%2A5%2A5%29\"$
\n" ); document.write( " $\"highlight%28x=5sqrt%282%29%29+\"$ \n" ); document.write( "

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